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Finding the Third Proportional to 482,391 and 709,134

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Solution

The third proportional to 482,391 and 709,134 is: 1,042,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,391 : 709,134 = 709,134 : x
  2. Step 2: Convert to fraction form
    482,391/709,134 = 709,134/x
  3. Step 3: Cross multiply
    482,391x = 709,134 × 709,134
  4. Step 4: Simplify right side
    482,391x = 502,871,029,956
  5. Step 5: Solve for x
    x = 502,871,029,956/482,391
  6. Step 6: Final answer
    x = 1,042,455.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.