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Finding the Third Proportional to 465,577.88 and 711,903.94

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Solution

The third proportional to 465,577.88 and 711,903.94 is: 1,088,555.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,577.88 : 711,903.94 = 711,903.94 : x
  2. Step 2: Convert to fraction form
    465,577.88/711,903.94 = 711,903.94/x
  3. Step 3: Cross multiply
    465,577.88x = 711,903.94 × 711,903.94
  4. Step 4: Simplify right side
    465,577.88x = 506,807,216,228.00
  5. Step 5: Solve for x
    x = 506,807,216,228.00/465,577.88
  6. Step 6: Final answer
    x = 1,088,555.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.