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Finding the Third Proportional to 568,424 and 875,968

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Solution

The third proportional to 568,424 and 875,968 is: 1,349,907.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,424 : 875,968 = 875,968 : x
  2. Step 2: Convert to fraction form
    568,424/875,968 = 875,968/x
  3. Step 3: Cross multiply
    568,424x = 875,968 × 875,968
  4. Step 4: Simplify right side
    568,424x = 767,319,937,024
  5. Step 5: Solve for x
    x = 767,319,937,024/568,424
  6. Step 6: Final answer
    x = 1,349,907.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.