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Finding the Third Proportional to 528,676 and 753,648

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Solution

The third proportional to 528,676 and 753,648 is: 1,074,354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,676 : 753,648 = 753,648 : x
  2. Step 2: Convert to fraction form
    528,676/753,648 = 753,648/x
  3. Step 3: Cross multiply
    528,676x = 753,648 × 753,648
  4. Step 4: Simplify right side
    528,676x = 567,985,307,904
  5. Step 5: Solve for x
    x = 567,985,307,904/528,676
  6. Step 6: Final answer
    x = 1,074,354.25

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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.