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Finding the Third Proportional to 265,411,056 and 398,116,620

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Solution

The third proportional to 265,411,056 and 398,116,620 is: 597,174,984.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,411,056 : 398,116,620 = 398,116,620 : x
  2. Step 2: Convert to fraction form
    265,411,056/398,116,620 = 398,116,620/x
  3. Step 3: Cross multiply
    265,411,056x = 398,116,620 × 398,116,620
  4. Step 4: Simplify right side
    265,411,056x = 158,496,843,120,224,384
  5. Step 5: Solve for x
    x = 158,496,843,120,224,384/265,411,056
  6. Step 6: Final answer
    x = 597,174,984.00

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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.