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Finding the Third Proportional to 506,883 and 708,655.50

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Solution

The third proportional to 506,883 and 708,655.50 is: 990,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,883 : 708,655.50 = 708,655.50 : x
  2. Step 2: Convert to fraction form
    506,883/708,655.50 = 708,655.50/x
  3. Step 3: Cross multiply
    506,883x = 708,655.50 × 708,655.50
  4. Step 4: Simplify right side
    506,883x = 502,192,617,680.25
  5. Step 5: Solve for x
    x = 502,192,617,680.25/506,883
  6. Step 6: Final answer
    x = 990,746.62

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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.