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Finding the Third Proportional to 387,738 and 568,090

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Solution

The third proportional to 387,738 and 568,090 is: 832,330.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,738 : 568,090 = 568,090 : x
  2. Step 2: Convert to fraction form
    387,738/568,090 = 568,090/x
  3. Step 3: Cross multiply
    387,738x = 568,090 × 568,090
  4. Step 4: Simplify right side
    387,738x = 322,726,248,100
  5. Step 5: Solve for x
    x = 322,726,248,100/387,738
  6. Step 6: Final answer
    x = 832,330.72

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.