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Finding the Third Proportional to 461,056,380 and 708,238,980

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Solution

The third proportional to 461,056,380 and 708,238,980 is: 1,087,941,680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,056,380 : 708,238,980 = 708,238,980 : x
  2. Step 2: Convert to fraction form
    461,056,380/708,238,980 = 708,238,980/x
  3. Step 3: Cross multiply
    461,056,380x = 708,238,980 × 708,238,980
  4. Step 4: Simplify right side
    461,056,380x = 501,602,452,791,440,384
  5. Step 5: Solve for x
    x = 501,602,452,791,440,384/461,056,380
  6. Step 6: Final answer
    x = 1,087,941,680.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.