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Finding the Third Proportional to 265,411,323 and 398,117,035.13

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Solution

The third proportional to 265,411,323 and 398,117,035.13 is: 597,175,628.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,411,323 : 398,117,035.13 = 398,117,035.13 : x
  2. Step 2: Convert to fraction form
    265,411,323/398,117,035.13 = 398,117,035.13/x
  3. Step 3: Cross multiply
    265,411,323x = 398,117,035.13 × 398,117,035.13
  4. Step 4: Simplify right side
    265,411,323x = 158,497,173,656,720,480
  5. Step 5: Solve for x
    x = 158,497,173,656,720,480/265,411,323
  6. Step 6: Final answer
    x = 597,175,628.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.