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Finding the Third Proportional to 459,751.50 and 717,571.50

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Solution

The third proportional to 459,751.50 and 717,571.50 is: 1,119,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,751.50 : 717,571.50 = 717,571.50 : x
  2. Step 2: Convert to fraction form
    459,751.50/717,571.50 = 717,571.50/x
  3. Step 3: Cross multiply
    459,751.50x = 717,571.50 × 717,571.50
  4. Step 4: Simplify right side
    459,751.50x = 514,908,857,612.25
  5. Step 5: Solve for x
    x = 514,908,857,612.25/459,751.50
  6. Step 6: Final answer
    x = 1,119,972.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.