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Finding the Third Proportional to 460,562,215 and 658,609,403

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Solution

The third proportional to 460,562,215 and 658,609,403 is: 941,819,219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,562,215 : 658,609,403 = 658,609,403 : x
  2. Step 2: Convert to fraction form
    460,562,215/658,609,403 = 658,609,403/x
  3. Step 3: Cross multiply
    460,562,215x = 658,609,403 × 658,609,403
  4. Step 4: Simplify right side
    460,562,215x = 433,766,345,720,016,384
  5. Step 5: Solve for x
    x = 433,766,345,720,016,384/460,562,215
  6. Step 6: Final answer
    x = 941,819,219.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.