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Finding the Third Proportional to 341,403.75 and 530,443

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Solution

The third proportional to 341,403.75 and 530,443 is: 824,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,403.75 : 530,443 = 530,443 : x
  2. Step 2: Convert to fraction form
    341,403.75/530,443 = 530,443/x
  3. Step 3: Cross multiply
    341,403.75x = 530,443 × 530,443
  4. Step 4: Simplify right side
    341,403.75x = 281,369,776,249
  5. Step 5: Solve for x
    x = 281,369,776,249/341,403.75
  6. Step 6: Final answer
    x = 824,155.49

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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.