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Finding the Third Proportional to 710,572.50 and 1,092,216

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Solution

The third proportional to 710,572.50 and 1,092,216 is: 1,678,837.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,572.50 : 1,092,216 = 1,092,216 : x
  2. Step 2: Convert to fraction form
    710,572.50/1,092,216 = 1,092,216/x
  3. Step 3: Cross multiply
    710,572.50x = 1,092,216 × 1,092,216
  4. Step 4: Simplify right side
    710,572.50x = 1,192,935,790,656
  5. Step 5: Solve for x
    x = 1,192,935,790,656/710,572.50
  6. Step 6: Final answer
    x = 1,678,837.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.