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Finding the Third Proportional to 566,384 and 874,965.50

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Solution

The third proportional to 566,384 and 874,965.50 is: 1,351,670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,384 : 874,965.50 = 874,965.50 : x
  2. Step 2: Convert to fraction form
    566,384/874,965.50 = 874,965.50/x
  3. Step 3: Cross multiply
    566,384x = 874,965.50 × 874,965.50
  4. Step 4: Simplify right side
    566,384x = 765,564,626,190.25
  5. Step 5: Solve for x
    x = 765,564,626,190.25/566,384
  6. Step 6: Final answer
    x = 1,351,670.64

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