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Finding the Third Proportional to 632,748 and 977,058

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Solution

The third proportional to 632,748 and 977,058 is: 1,508,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,748 : 977,058 = 977,058 : x
  2. Step 2: Convert to fraction form
    632,748/977,058 = 977,058/x
  3. Step 3: Cross multiply
    632,748x = 977,058 × 977,058
  4. Step 4: Simplify right side
    632,748x = 954,642,335,364
  5. Step 5: Solve for x
    x = 954,642,335,364/632,748
  6. Step 6: Final answer
    x = 1,508,724.38

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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.