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Finding the Third Proportional to 329,645,056 and 686,418,515

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Solution

The third proportional to 329,645,056 and 686,418,515 is: 1,429,326,389.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,645,056 : 686,418,515 = 686,418,515 : x
  2. Step 2: Convert to fraction form
    329,645,056/686,418,515 = 686,418,515/x
  3. Step 3: Cross multiply
    329,645,056x = 686,418,515 × 686,418,515
  4. Step 4: Simplify right side
    329,645,056x = 471,170,377,734,805,248
  5. Step 5: Solve for x
    x = 471,170,377,734,805,248/329,645,056
  6. Step 6: Final answer
    x = 1,429,326,389.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.