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Finding the Third Proportional to 341,665,340 and 510,259,106

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Solution

The third proportional to 341,665,340 and 510,259,106 is: 762,044,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,665,340 : 510,259,106 = 510,259,106 : x
  2. Step 2: Convert to fraction form
    341,665,340/510,259,106 = 510,259,106/x
  3. Step 3: Cross multiply
    341,665,340x = 510,259,106 × 510,259,106
  4. Step 4: Simplify right side
    341,665,340x = 260,364,355,255,919,232
  5. Step 5: Solve for x
    x = 260,364,355,255,919,232/341,665,340
  6. Step 6: Final answer
    x = 762,044,974.35

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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.