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Finding the Third Proportional to 546,144.19 and 847,971.28

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Solution

The third proportional to 546,144.19 and 847,971.28 is: 1,316,603.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,144.19 : 847,971.28 = 847,971.28 : x
  2. Step 2: Convert to fraction form
    546,144.19/847,971.28 = 847,971.28/x
  3. Step 3: Cross multiply
    546,144.19x = 847,971.28 × 847,971.28
  4. Step 4: Simplify right side
    546,144.19x = 719,055,293,824.77
  5. Step 5: Solve for x
    x = 719,055,293,824.77/546,144.19
  6. Step 6: Final answer
    x = 1,316,603.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.