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Finding the Third Proportional to 370,004 and 808,492

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Solution

The third proportional to 370,004 and 808,492 is: 1,766,627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,004 : 808,492 = 808,492 : x
  2. Step 2: Convert to fraction form
    370,004/808,492 = 808,492/x
  3. Step 3: Cross multiply
    370,004x = 808,492 × 808,492
  4. Step 4: Simplify right side
    370,004x = 653,659,314,064
  5. Step 5: Solve for x
    x = 653,659,314,064/370,004
  6. Step 6: Final answer
    x = 1,766,627.70

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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.