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Finding the Third Proportional to 544,364 and 711,566

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Solution

The third proportional to 544,364 and 711,566 is: 930,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,364 : 711,566 = 711,566 : x
  2. Step 2: Convert to fraction form
    544,364/711,566 = 711,566/x
  3. Step 3: Cross multiply
    544,364x = 711,566 × 711,566
  4. Step 4: Simplify right side
    544,364x = 506,326,172,356
  5. Step 5: Solve for x
    x = 506,326,172,356/544,364
  6. Step 6: Final answer
    x = 930,124.28

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.