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Finding the Third Proportional to 506,860 and 708,620

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Solution

The third proportional to 506,860 and 708,620 is: 990,692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,860 : 708,620 = 708,620 : x
  2. Step 2: Convert to fraction form
    506,860/708,620 = 708,620/x
  3. Step 3: Cross multiply
    506,860x = 708,620 × 708,620
  4. Step 4: Simplify right side
    506,860x = 502,142,304,400
  5. Step 5: Solve for x
    x = 502,142,304,400/506,860
  6. Step 6: Final answer
    x = 990,692.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.