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Finding the Third Proportional to 482,384.25 and 709,124.63

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Solution

The third proportional to 482,384.25 and 709,124.63 is: 1,042,442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,384.25 : 709,124.63 = 709,124.63 : x
  2. Step 2: Convert to fraction form
    482,384.25/709,124.63 = 709,124.63/x
  3. Step 3: Cross multiply
    482,384.25x = 709,124.63 × 709,124.63
  4. Step 4: Simplify right side
    482,384.25x = 502,857,733,781.39
  5. Step 5: Solve for x
    x = 502,857,733,781.39/482,384.25
  6. Step 6: Final answer
    x = 1,042,442.27

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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.