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Finding the Third Proportional to 506,902 and 708,679

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Solution

The third proportional to 506,902 and 708,679 is: 990,775.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,902 : 708,679 = 708,679 : x
  2. Step 2: Convert to fraction form
    506,902/708,679 = 708,679/x
  3. Step 3: Cross multiply
    506,902x = 708,679 × 708,679
  4. Step 4: Simplify right side
    506,902x = 502,225,925,041
  5. Step 5: Solve for x
    x = 502,225,925,041/506,902
  6. Step 6: Final answer
    x = 990,775.19

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