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Finding the Third Proportional to 329,482,776 and 722,266,080

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Solution

The third proportional to 329,482,776 and 722,266,080 is: 1,583,294,570.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,482,776 : 722,266,080 = 722,266,080 : x
  2. Step 2: Convert to fraction form
    329,482,776/722,266,080 = 722,266,080/x
  3. Step 3: Cross multiply
    329,482,776x = 722,266,080 × 722,266,080
  4. Step 4: Simplify right side
    329,482,776x = 521,668,290,318,566,400
  5. Step 5: Solve for x
    x = 521,668,290,318,566,400/329,482,776
  6. Step 6: Final answer
    x = 1,583,294,570.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.