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Finding the Third Proportional to 542,975 and 714,022.50

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Solution

The third proportional to 542,975 and 714,022.50 is: 938,953.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,975 : 714,022.50 = 714,022.50 : x
  2. Step 2: Convert to fraction form
    542,975/714,022.50 = 714,022.50/x
  3. Step 3: Cross multiply
    542,975x = 714,022.50 × 714,022.50
  4. Step 4: Simplify right side
    542,975x = 509,828,130,506.25
  5. Step 5: Solve for x
    x = 509,828,130,506.25/542,975
  6. Step 6: Final answer
    x = 938,953.23

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.