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Finding the Third Proportional to 334,187,307 and 510,886,260

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Solution

The third proportional to 334,187,307 and 510,886,260 is: 781,013,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,187,307 : 510,886,260 = 510,886,260 : x
  2. Step 2: Convert to fraction form
    334,187,307/510,886,260 = 510,886,260/x
  3. Step 3: Cross multiply
    334,187,307x = 510,886,260 × 510,886,260
  4. Step 4: Simplify right side
    334,187,307x = 261,004,770,656,787,584
  5. Step 5: Solve for x
    x = 261,004,770,656,787,584/334,187,307
  6. Step 6: Final answer
    x = 781,013,417.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.