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Finding the Third Proportional to 534,719.25 and 815,547

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Solution

The third proportional to 534,719.25 and 815,547 is: 1,243,861.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,719.25 : 815,547 = 815,547 : x
  2. Step 2: Convert to fraction form
    534,719.25/815,547 = 815,547/x
  3. Step 3: Cross multiply
    534,719.25x = 815,547 × 815,547
  4. Step 4: Simplify right side
    534,719.25x = 665,116,909,209
  5. Step 5: Solve for x
    x = 665,116,909,209/534,719.25
  6. Step 6: Final answer
    x = 1,243,861.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.