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Finding the Third Proportional to 341,665,387 and 510,259,173

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Solution

The third proportional to 341,665,387 and 510,259,173 is: 762,045,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,665,387 : 510,259,173 = 510,259,173 : x
  2. Step 2: Convert to fraction form
    341,665,387/510,259,173 = 510,259,173/x
  3. Step 3: Cross multiply
    341,665,387x = 510,259,173 × 510,259,173
  4. Step 4: Simplify right side
    341,665,387x = 260,364,423,630,643,936
  5. Step 5: Solve for x
    x = 260,364,423,630,643,936/341,665,387
  6. Step 6: Final answer
    x = 762,045,069.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.