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Finding the Third Proportional to 374,523.75 and 579,264.54

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Solution

The third proportional to 374,523.75 and 579,264.54 is: 895,930.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,523.75 : 579,264.54 = 579,264.54 : x
  2. Step 2: Convert to fraction form
    374,523.75/579,264.54 = 579,264.54/x
  3. Step 3: Cross multiply
    374,523.75x = 579,264.54 × 579,264.54
  4. Step 4: Simplify right side
    374,523.75x = 335,547,406,215.29
  5. Step 5: Solve for x
    x = 335,547,406,215.29/374,523.75
  6. Step 6: Final answer
    x = 895,930.92

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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.