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Finding the Third Proportional to 431,040 and 942,332

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Solution

The third proportional to 431,040 and 942,332 is: 2,060,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,040 : 942,332 = 942,332 : x
  2. Step 2: Convert to fraction form
    431,040/942,332 = 942,332/x
  3. Step 3: Cross multiply
    431,040x = 942,332 × 942,332
  4. Step 4: Simplify right side
    431,040x = 887,989,598,224
  5. Step 5: Solve for x
    x = 887,989,598,224/431,040
  6. Step 6: Final answer
    x = 2,060,109.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.