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Finding the Third Proportional to 340,730,283 and 741,160,032

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Solution

The third proportional to 340,730,283 and 741,160,032 is: 1,612,178,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,730,283 : 741,160,032 = 741,160,032 : x
  2. Step 2: Convert to fraction form
    340,730,283/741,160,032 = 741,160,032/x
  3. Step 3: Cross multiply
    340,730,283x = 741,160,032 × 741,160,032
  4. Step 4: Simplify right side
    340,730,283x = 549,318,193,034,241,024
  5. Step 5: Solve for x
    x = 549,318,193,034,241,024/340,730,283
  6. Step 6: Final answer
    x = 1,612,178,959.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.