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Finding the Third Proportional to 513,212 and 754,070

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Solution

The third proportional to 513,212 and 754,070 is: 1,107,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,212 : 754,070 = 754,070 : x
  2. Step 2: Convert to fraction form
    513,212/754,070 = 754,070/x
  3. Step 3: Cross multiply
    513,212x = 754,070 × 754,070
  4. Step 4: Simplify right side
    513,212x = 568,621,564,900
  5. Step 5: Solve for x
    x = 568,621,564,900/513,212
  6. Step 6: Final answer
    x = 1,107,966.23

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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.