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Finding the Third Proportional to 356,890 and 525,471

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Solution

The third proportional to 356,890 and 525,471 is: 773,683.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,890 : 525,471 = 525,471 : x
  2. Step 2: Convert to fraction form
    356,890/525,471 = 525,471/x
  3. Step 3: Cross multiply
    356,890x = 525,471 × 525,471
  4. Step 4: Simplify right side
    356,890x = 276,119,771,841
  5. Step 5: Solve for x
    x = 276,119,771,841/356,890
  6. Step 6: Final answer
    x = 773,683.13

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Why These Related Problems?

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