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Finding the Third Proportional to 374,502 and 801,492

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Solution

The third proportional to 374,502 and 801,492 is: 1,715,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,502 : 801,492 = 801,492 : x
  2. Step 2: Convert to fraction form
    374,502/801,492 = 801,492/x
  3. Step 3: Cross multiply
    374,502x = 801,492 × 801,492
  4. Step 4: Simplify right side
    374,502x = 642,389,426,064
  5. Step 5: Solve for x
    x = 642,389,426,064/374,502
  6. Step 6: Final answer
    x = 1,715,316.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.