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Finding the Third Proportional to 480,938 and 750,522

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Solution

The third proportional to 480,938 and 750,522 is: 1,171,218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,938 : 750,522 = 750,522 : x
  2. Step 2: Convert to fraction form
    480,938/750,522 = 750,522/x
  3. Step 3: Cross multiply
    480,938x = 750,522 × 750,522
  4. Step 4: Simplify right side
    480,938x = 563,283,272,484
  5. Step 5: Solve for x
    x = 563,283,272,484/480,938
  6. Step 6: Final answer
    x = 1,171,218.06

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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.