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Finding the Third Proportional to 295,534 and 612,088

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Solution

The third proportional to 295,534 and 612,088 is: 1,267,711.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,534 : 612,088 = 612,088 : x
  2. Step 2: Convert to fraction form
    295,534/612,088 = 612,088/x
  3. Step 3: Cross multiply
    295,534x = 612,088 × 612,088
  4. Step 4: Simplify right side
    295,534x = 374,651,719,744
  5. Step 5: Solve for x
    x = 374,651,719,744/295,534
  6. Step 6: Final answer
    x = 1,267,711.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.