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Finding the Third Proportional to 662,160 and 894,264

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Solution

The third proportional to 662,160 and 894,264 is: 1,207,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,160 : 894,264 = 894,264 : x
  2. Step 2: Convert to fraction form
    662,160/894,264 = 894,264/x
  3. Step 3: Cross multiply
    662,160x = 894,264 × 894,264
  4. Step 4: Simplify right side
    662,160x = 799,708,101,696
  5. Step 5: Solve for x
    x = 799,708,101,696/662,160
  6. Step 6: Final answer
    x = 1,207,726.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.