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Finding the Third Proportional to 506,859.13 and 708,618.94

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Solution

The third proportional to 506,859.13 and 708,618.94 is: 990,691.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,859.13 : 708,618.94 = 708,618.94 : x
  2. Step 2: Convert to fraction form
    506,859.13/708,618.94 = 708,618.94/x
  3. Step 3: Cross multiply
    506,859.13x = 708,618.94 × 708,618.94
  4. Step 4: Simplify right side
    506,859.13x = 502,140,798,583.63
  5. Step 5: Solve for x
    x = 502,140,798,583.63/506,859.13
  6. Step 6: Final answer
    x = 990,691.05

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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.