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Finding the Third Proportional to 372,510 and 570,771

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Solution

The third proportional to 372,510 and 570,771 is: 874,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,510 : 570,771 = 570,771 : x
  2. Step 2: Convert to fraction form
    372,510/570,771 = 570,771/x
  3. Step 3: Cross multiply
    372,510x = 570,771 × 570,771
  4. Step 4: Simplify right side
    372,510x = 325,779,534,441
  5. Step 5: Solve for x
    x = 325,779,534,441/372,510
  6. Step 6: Final answer
    x = 874,552.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.