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Finding the Third Proportional to 527,796 and 817,776

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Solution

The third proportional to 527,796 and 817,776 is: 1,267,075.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,796 : 817,776 = 817,776 : x
  2. Step 2: Convert to fraction form
    527,796/817,776 = 817,776/x
  3. Step 3: Cross multiply
    527,796x = 817,776 × 817,776
  4. Step 4: Simplify right side
    527,796x = 668,757,586,176
  5. Step 5: Solve for x
    x = 668,757,586,176/527,796
  6. Step 6: Final answer
    x = 1,267,075.89

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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.