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Finding the Third Proportional to 480,762 and 747,363

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Solution

The third proportional to 480,762 and 747,363 is: 1,161,804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,762 : 747,363 = 747,363 : x
  2. Step 2: Convert to fraction form
    480,762/747,363 = 747,363/x
  3. Step 3: Cross multiply
    480,762x = 747,363 × 747,363
  4. Step 4: Simplify right side
    480,762x = 558,551,453,769
  5. Step 5: Solve for x
    x = 558,551,453,769/480,762
  6. Step 6: Final answer
    x = 1,161,804.50

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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.