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Finding the Third Proportional to 527,201 and 817,045.50

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Solution

The third proportional to 527,201 and 817,045.50 is: 1,266,240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,201 : 817,045.50 = 817,045.50 : x
  2. Step 2: Convert to fraction form
    527,201/817,045.50 = 817,045.50/x
  3. Step 3: Cross multiply
    527,201x = 817,045.50 × 817,045.50
  4. Step 4: Simplify right side
    527,201x = 667,563,349,070.25
  5. Step 5: Solve for x
    x = 667,563,349,070.25/527,201
  6. Step 6: Final answer
    x = 1,266,240.67

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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.