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Finding the Third Proportional to 252,939,611.25 and 564,038,187.75

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Solution

The third proportional to 252,939,611.25 and 564,038,187.75 is: 1,257,766,925.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,939,611.25 : 564,038,187.75 = 564,038,187.75 : x
  2. Step 2: Convert to fraction form
    252,939,611.25/564,038,187.75 = 564,038,187.75/x
  3. Step 3: Cross multiply
    252,939,611.25x = 564,038,187.75 × 564,038,187.75
  4. Step 4: Simplify right side
    252,939,611.25x = 318,139,077,240,304,256
  5. Step 5: Solve for x
    x = 318,139,077,240,304,256/252,939,611.25
  6. Step 6: Final answer
    x = 1,257,766,925.74

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.