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Finding the Third Proportional to 329,482,773 and 722,266,074

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Solution

The third proportional to 329,482,773 and 722,266,074 is: 1,583,294,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,482,773 : 722,266,074 = 722,266,074 : x
  2. Step 2: Convert to fraction form
    329,482,773/722,266,074 = 722,266,074/x
  3. Step 3: Cross multiply
    329,482,773x = 722,266,074 × 722,266,074
  4. Step 4: Simplify right side
    329,482,773x = 521,668,281,651,373,504
  5. Step 5: Solve for x
    x = 521,668,281,651,373,504/329,482,773
  6. Step 6: Final answer
    x = 1,583,294,558.62

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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.