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Finding the Third Proportional to 352,562.63 and 723,897

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Solution

The third proportional to 352,562.63 and 723,897 is: 1,486,336.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,562.63 : 723,897 = 723,897 : x
  2. Step 2: Convert to fraction form
    352,562.63/723,897 = 723,897/x
  3. Step 3: Cross multiply
    352,562.63x = 723,897 × 723,897
  4. Step 4: Simplify right side
    352,562.63x = 524,026,866,609
  5. Step 5: Solve for x
    x = 524,026,866,609/352,562.63
  6. Step 6: Final answer
    x = 1,486,336.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.