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Finding the Third Proportional to 566,528 and 854,176

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Solution

The third proportional to 566,528 and 854,176 is: 1,287,873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,528 : 854,176 = 854,176 : x
  2. Step 2: Convert to fraction form
    566,528/854,176 = 854,176/x
  3. Step 3: Cross multiply
    566,528x = 854,176 × 854,176
  4. Step 4: Simplify right side
    566,528x = 729,616,638,976
  5. Step 5: Solve for x
    x = 729,616,638,976/566,528
  6. Step 6: Final answer
    x = 1,287,873.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.