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Finding the Third Proportional to 566,323.50 and 857,721

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Solution

The third proportional to 566,323.50 and 857,721 is: 1,299,054.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,323.50 : 857,721 = 857,721 : x
  2. Step 2: Convert to fraction form
    566,323.50/857,721 = 857,721/x
  3. Step 3: Cross multiply
    566,323.50x = 857,721 × 857,721
  4. Step 4: Simplify right side
    566,323.50x = 735,685,313,841
  5. Step 5: Solve for x
    x = 735,685,313,841/566,323.50
  6. Step 6: Final answer
    x = 1,299,054.89

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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.