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Finding the Third Proportional to 723,585.75 and 1,063,699.13

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Solution

The third proportional to 723,585.75 and 1,063,699.13 is: 1,563,678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,585.75 : 1,063,699.13 = 1,063,699.13 : x
  2. Step 2: Convert to fraction form
    723,585.75/1,063,699.13 = 1,063,699.13/x
  3. Step 3: Cross multiply
    723,585.75x = 1,063,699.13 × 1,063,699.13
  4. Step 4: Simplify right side
    723,585.75x = 1,131,455,828,525.77
  5. Step 5: Solve for x
    x = 1,131,455,828,525.77/723,585.75
  6. Step 6: Final answer
    x = 1,563,678.98

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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.