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Finding the Third Proportional to 341,403.75 and 530,442.56

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Solution

The third proportional to 341,403.75 and 530,442.56 is: 824,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,403.75 : 530,442.56 = 530,442.56 : x
  2. Step 2: Convert to fraction form
    341,403.75/530,442.56 = 530,442.56/x
  3. Step 3: Cross multiply
    341,403.75x = 530,442.56 × 530,442.56
  4. Step 4: Simplify right side
    341,403.75x = 281,369,312,111.57
  5. Step 5: Solve for x
    x = 281,369,312,111.57/341,403.75
  6. Step 6: Final answer
    x = 824,154.13

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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.