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Finding the Third Proportional to 385,043.63 and 598,565.25

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Solution

The third proportional to 385,043.63 and 598,565.25 is: 930,492.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,043.63 : 598,565.25 = 598,565.25 : x
  2. Step 2: Convert to fraction form
    385,043.63/598,565.25 = 598,565.25/x
  3. Step 3: Cross multiply
    385,043.63x = 598,565.25 × 598,565.25
  4. Step 4: Simplify right side
    385,043.63x = 358,280,358,507.56
  5. Step 5: Solve for x
    x = 358,280,358,507.56/385,043.63
  6. Step 6: Final answer
    x = 930,492.90

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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.