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Finding the Third Proportional to 271,971 and 592,330.50

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Solution

The third proportional to 271,971 and 592,330.50 is: 1,290,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,971 : 592,330.50 = 592,330.50 : x
  2. Step 2: Convert to fraction form
    271,971/592,330.50 = 592,330.50/x
  3. Step 3: Cross multiply
    271,971x = 592,330.50 × 592,330.50
  4. Step 4: Simplify right side
    271,971x = 350,855,421,230.25
  5. Step 5: Solve for x
    x = 350,855,421,230.25/271,971
  6. Step 6: Final answer
    x = 1,290,047.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.