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Finding the Third Proportional to 482,408 and 709,158

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Solution

The third proportional to 482,408 and 709,158 is: 1,042,489.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,408 : 709,158 = 709,158 : x
  2. Step 2: Convert to fraction form
    482,408/709,158 = 709,158/x
  3. Step 3: Cross multiply
    482,408x = 709,158 × 709,158
  4. Step 4: Simplify right side
    482,408x = 502,905,068,964
  5. Step 5: Solve for x
    x = 502,905,068,964/482,408
  6. Step 6: Final answer
    x = 1,042,489.07

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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.