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Finding the Third Proportional to 482,301 and 709,020

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Solution

The third proportional to 482,301 and 709,020 is: 1,042,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,301 : 709,020 = 709,020 : x
  2. Step 2: Convert to fraction form
    482,301/709,020 = 709,020/x
  3. Step 3: Cross multiply
    482,301x = 709,020 × 709,020
  4. Step 4: Simplify right side
    482,301x = 502,709,360,400
  5. Step 5: Solve for x
    x = 502,709,360,400/482,301
  6. Step 6: Final answer
    x = 1,042,314.57

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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.