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Finding the Third Proportional to 423,201 and 574,110

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Solution

The third proportional to 423,201 and 574,110 is: 778,831.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,201 : 574,110 = 574,110 : x
  2. Step 2: Convert to fraction form
    423,201/574,110 = 574,110/x
  3. Step 3: Cross multiply
    423,201x = 574,110 × 574,110
  4. Step 4: Simplify right side
    423,201x = 329,602,292,100
  5. Step 5: Solve for x
    x = 329,602,292,100/423,201
  6. Step 6: Final answer
    x = 778,831.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.