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Finding the Third Proportional to 265,411,047 and 398,116,605

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Solution

The third proportional to 265,411,047 and 398,116,605 is: 597,174,959.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,411,047 : 398,116,605 = 398,116,605 : x
  2. Step 2: Convert to fraction form
    265,411,047/398,116,605 = 398,116,605/x
  3. Step 3: Cross multiply
    265,411,047x = 398,116,605 × 398,116,605
  4. Step 4: Simplify right side
    265,411,047x = 158,496,831,176,726,016
  5. Step 5: Solve for x
    x = 158,496,831,176,726,016/265,411,047
  6. Step 6: Final answer
    x = 597,174,959.25

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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.