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Finding the Third Proportional to 532,394 and 804,136

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Solution

The third proportional to 532,394 and 804,136 is: 1,214,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,394 : 804,136 = 804,136 : x
  2. Step 2: Convert to fraction form
    532,394/804,136 = 804,136/x
  3. Step 3: Cross multiply
    532,394x = 804,136 × 804,136
  4. Step 4: Simplify right side
    532,394x = 646,634,706,496
  5. Step 5: Solve for x
    x = 646,634,706,496/532,394
  6. Step 6: Final answer
    x = 1,214,579.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.