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Finding the Third Proportional to 248,697 and 375,409

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Solution

The third proportional to 248,697 and 375,409 is: 566,681.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,697 : 375,409 = 375,409 : x
  2. Step 2: Convert to fraction form
    248,697/375,409 = 375,409/x
  3. Step 3: Cross multiply
    248,697x = 375,409 × 375,409
  4. Step 4: Simplify right side
    248,697x = 140,931,917,281
  5. Step 5: Solve for x
    x = 140,931,917,281/248,697
  6. Step 6: Final answer
    x = 566,681.21

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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.