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Finding the Third Proportional to 462,850 and 700,080

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Solution

The third proportional to 462,850 and 700,080 is: 1,058,900.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,850 : 700,080 = 700,080 : x
  2. Step 2: Convert to fraction form
    462,850/700,080 = 700,080/x
  3. Step 3: Cross multiply
    462,850x = 700,080 × 700,080
  4. Step 4: Simplify right side
    462,850x = 490,112,006,400
  5. Step 5: Solve for x
    x = 490,112,006,400/462,850
  6. Step 6: Final answer
    x = 1,058,900.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.