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Finding the Third Proportional to 475,629 and 652,202

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Solution

The third proportional to 475,629 and 652,202 is: 894,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,629 : 652,202 = 652,202 : x
  2. Step 2: Convert to fraction form
    475,629/652,202 = 652,202/x
  3. Step 3: Cross multiply
    475,629x = 652,202 × 652,202
  4. Step 4: Simplify right side
    475,629x = 425,367,448,804
  5. Step 5: Solve for x
    x = 425,367,448,804/475,629
  6. Step 6: Final answer
    x = 894,326.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.