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Finding the Third Proportional to 484,236,838 and 679,480,143

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Solution

The third proportional to 484,236,838 and 679,480,143 is: 953,445,150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,236,838 : 679,480,143 = 679,480,143 : x
  2. Step 2: Convert to fraction form
    484,236,838/679,480,143 = 679,480,143/x
  3. Step 3: Cross multiply
    484,236,838x = 679,480,143 × 679,480,143
  4. Step 4: Simplify right side
    484,236,838x = 461,693,264,731,300,480
  5. Step 5: Solve for x
    x = 461,693,264,731,300,480/484,236,838
  6. Step 6: Final answer
    x = 953,445,150.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.