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Finding the Third Proportional to 526,397 and 750,229

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Solution

The third proportional to 526,397 and 750,229 is: 1,069,237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,397 : 750,229 = 750,229 : x
  2. Step 2: Convert to fraction form
    526,397/750,229 = 750,229/x
  3. Step 3: Cross multiply
    526,397x = 750,229 × 750,229
  4. Step 4: Simplify right side
    526,397x = 562,843,552,441
  5. Step 5: Solve for x
    x = 562,843,552,441/526,397
  6. Step 6: Final answer
    x = 1,069,237.77

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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.