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Finding the Third Proportional to 284,595.19 and 609,535.13

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Solution

The third proportional to 284,595.19 and 609,535.13 is: 1,305,479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,595.19 : 609,535.13 = 609,535.13 : x
  2. Step 2: Convert to fraction form
    284,595.19/609,535.13 = 609,535.13/x
  3. Step 3: Cross multiply
    284,595.19x = 609,535.13 × 609,535.13
  4. Step 4: Simplify right side
    284,595.19x = 371,533,068,608.77
  5. Step 5: Solve for x
    x = 371,533,068,608.77/284,595.19
  6. Step 6: Final answer
    x = 1,305,479.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.