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Finding the Third Proportional to 459,235.83 and 724,073.55

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Solution

The third proportional to 459,235.83 and 724,073.55 is: 1,141,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,235.83 : 724,073.55 = 724,073.55 : x
  2. Step 2: Convert to fraction form
    459,235.83/724,073.55 = 724,073.55/x
  3. Step 3: Cross multiply
    459,235.83x = 724,073.55 × 724,073.55
  4. Step 4: Simplify right side
    459,235.83x = 524,282,512,597.79
  5. Step 5: Solve for x
    x = 524,282,512,597.79/459,235.83
  6. Step 6: Final answer
    x = 1,141,641.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.