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Finding the Third Proportional to 506,857.50 and 708,616.50

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Solution

The third proportional to 506,857.50 and 708,616.50 is: 990,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,857.50 : 708,616.50 = 708,616.50 : x
  2. Step 2: Convert to fraction form
    506,857.50/708,616.50 = 708,616.50/x
  3. Step 3: Cross multiply
    506,857.50x = 708,616.50 × 708,616.50
  4. Step 4: Simplify right side
    506,857.50x = 502,137,344,072.25
  5. Step 5: Solve for x
    x = 502,137,344,072.25/506,857.50
  6. Step 6: Final answer
    x = 990,687.41

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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.