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Finding the Third Proportional to 501,562.50 and 777,495

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Solution

The third proportional to 501,562.50 and 777,495 is: 1,205,230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,562.50 : 777,495 = 777,495 : x
  2. Step 2: Convert to fraction form
    501,562.50/777,495 = 777,495/x
  3. Step 3: Cross multiply
    501,562.50x = 777,495 × 777,495
  4. Step 4: Simplify right side
    501,562.50x = 604,498,475,025
  5. Step 5: Solve for x
    x = 604,498,475,025/501,562.50
  6. Step 6: Final answer
    x = 1,205,230.60

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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.