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Finding the Third Proportional to 527,213 and 817,037

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Solution

The third proportional to 527,213 and 817,037 is: 1,266,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,213 : 817,037 = 817,037 : x
  2. Step 2: Convert to fraction form
    527,213/817,037 = 817,037/x
  3. Step 3: Cross multiply
    527,213x = 817,037 × 817,037
  4. Step 4: Simplify right side
    527,213x = 667,549,459,369
  5. Step 5: Solve for x
    x = 667,549,459,369/527,213
  6. Step 6: Final answer
    x = 1,266,185.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.