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Finding the Third Proportional to 354,875,680 and 772,240,564

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Solution

The third proportional to 354,875,680 and 772,240,564 is: 1,680,463,109.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,875,680 : 772,240,564 = 772,240,564 : x
  2. Step 2: Convert to fraction form
    354,875,680/772,240,564 = 772,240,564/x
  3. Step 3: Cross multiply
    354,875,680x = 772,240,564 × 772,240,564
  4. Step 4: Simplify right side
    354,875,680x = 596,355,488,687,038,080
  5. Step 5: Solve for x
    x = 596,355,488,687,038,080/354,875,680
  6. Step 6: Final answer
    x = 1,680,463,109.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.