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Finding the Third Proportional to 526,438 and 750,281

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Solution

The third proportional to 526,438 and 750,281 is: 1,069,302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,438 : 750,281 = 750,281 : x
  2. Step 2: Convert to fraction form
    526,438/750,281 = 750,281/x
  3. Step 3: Cross multiply
    526,438x = 750,281 × 750,281
  4. Step 4: Simplify right side
    526,438x = 562,921,578,961
  5. Step 5: Solve for x
    x = 562,921,578,961/526,438
  6. Step 6: Final answer
    x = 1,069,302.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.