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Finding the Third Proportional to 369,722 and 570,887

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Solution

The third proportional to 369,722 and 570,887 is: 881,505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,722 : 570,887 = 570,887 : x
  2. Step 2: Convert to fraction form
    369,722/570,887 = 570,887/x
  3. Step 3: Cross multiply
    369,722x = 570,887 × 570,887
  4. Step 4: Simplify right side
    369,722x = 325,911,966,769
  5. Step 5: Solve for x
    x = 325,911,966,769/369,722
  6. Step 6: Final answer
    x = 881,505.47

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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.