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Finding the Third Proportional to 480,393 and 747,805.50

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Solution

The third proportional to 480,393 and 747,805.50 is: 1,164,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,393 : 747,805.50 = 747,805.50 : x
  2. Step 2: Convert to fraction form
    480,393/747,805.50 = 747,805.50/x
  3. Step 3: Cross multiply
    480,393x = 747,805.50 × 747,805.50
  4. Step 4: Simplify right side
    480,393x = 559,213,065,830.25
  5. Step 5: Solve for x
    x = 559,213,065,830.25/480,393
  6. Step 6: Final answer
    x = 1,164,074.13

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