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Finding the Third Proportional to 265,411,374 and 398,117,100

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Solution

The third proportional to 265,411,374 and 398,117,100 is: 597,175,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,411,374 : 398,117,100 = 398,117,100 : x
  2. Step 2: Convert to fraction form
    265,411,374/398,117,100 = 398,117,100/x
  3. Step 3: Cross multiply
    265,411,374x = 398,117,100 × 398,117,100
  4. Step 4: Simplify right side
    265,411,374x = 158,497,225,312,409,984
  5. Step 5: Solve for x
    x = 158,497,225,312,409,984/265,411,374
  6. Step 6: Final answer
    x = 597,175,708.50

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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.