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Finding the Third Proportional to 342,017,340 and 760,353,528

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Solution

The third proportional to 342,017,340 and 760,353,528 is: 1,690,374,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,017,340 : 760,353,528 = 760,353,528 : x
  2. Step 2: Convert to fraction form
    342,017,340/760,353,528 = 760,353,528/x
  3. Step 3: Cross multiply
    342,017,340x = 760,353,528 × 760,353,528
  4. Step 4: Simplify right side
    342,017,340x = 578,137,487,542,046,720
  5. Step 5: Solve for x
    x = 578,137,487,542,046,720/342,017,340
  6. Step 6: Final answer
    x = 1,690,374,784.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.