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Finding the Third Proportional to 566,385 and 874,968

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Solution

The third proportional to 566,385 and 874,968 is: 1,351,675.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,385 : 874,968 = 874,968 : x
  2. Step 2: Convert to fraction form
    566,385/874,968 = 874,968/x
  3. Step 3: Cross multiply
    566,385x = 874,968 × 874,968
  4. Step 4: Simplify right side
    566,385x = 765,569,001,024
  5. Step 5: Solve for x
    x = 765,569,001,024/566,385
  6. Step 6: Final answer
    x = 1,351,675.98

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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.