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Finding the Third Proportional to 531,492 and 807,078

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Solution

The third proportional to 531,492 and 807,078 is: 1,225,559.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,492 : 807,078 = 807,078 : x
  2. Step 2: Convert to fraction form
    531,492/807,078 = 807,078/x
  3. Step 3: Cross multiply
    531,492x = 807,078 × 807,078
  4. Step 4: Simplify right side
    531,492x = 651,374,898,084
  5. Step 5: Solve for x
    x = 651,374,898,084/531,492
  6. Step 6: Final answer
    x = 1,225,559.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.