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Finding the Third Proportional to 480,829.50 and 747,495

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Solution

The third proportional to 480,829.50 and 747,495 is: 1,162,051.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,829.50 : 747,495 = 747,495 : x
  2. Step 2: Convert to fraction form
    480,829.50/747,495 = 747,495/x
  3. Step 3: Cross multiply
    480,829.50x = 747,495 × 747,495
  4. Step 4: Simplify right side
    480,829.50x = 558,748,775,025
  5. Step 5: Solve for x
    x = 558,748,775,025/480,829.50
  6. Step 6: Final answer
    x = 1,162,051.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.