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Finding the Third Proportional to 362,369 and 532,897

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Solution

The third proportional to 362,369 and 532,897 is: 783,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,369 : 532,897 = 532,897 : x
  2. Step 2: Convert to fraction form
    362,369/532,897 = 532,897/x
  3. Step 3: Cross multiply
    362,369x = 532,897 × 532,897
  4. Step 4: Simplify right side
    362,369x = 283,979,212,609
  5. Step 5: Solve for x
    x = 283,979,212,609/362,369
  6. Step 6: Final answer
    x = 783,674.13

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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.