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Finding the Third Proportional to 292,502 and 632,979

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Solution

The third proportional to 292,502 and 632,979 is: 1,369,776.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,502 : 632,979 = 632,979 : x
  2. Step 2: Convert to fraction form
    292,502/632,979 = 632,979/x
  3. Step 3: Cross multiply
    292,502x = 632,979 × 632,979
  4. Step 4: Simplify right side
    292,502x = 400,662,414,441
  5. Step 5: Solve for x
    x = 400,662,414,441/292,502
  6. Step 6: Final answer
    x = 1,369,776.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.