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Finding the Third Proportional to 329,645,054 and 686,418,511

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Solution

The third proportional to 329,645,054 and 686,418,511 is: 1,429,326,381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,645,054 : 686,418,511 = 686,418,511 : x
  2. Step 2: Convert to fraction form
    329,645,054/686,418,511 = 686,418,511/x
  3. Step 3: Cross multiply
    329,645,054x = 686,418,511 × 686,418,511
  4. Step 4: Simplify right side
    329,645,054x = 471,170,372,243,457,152
  5. Step 5: Solve for x
    x = 471,170,372,243,457,152/329,645,054
  6. Step 6: Final answer
    x = 1,429,326,381.59

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