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Finding the Third Proportional to 385,033.50 and 592,586.25

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Solution

The third proportional to 385,033.50 and 592,586.25 is: 912,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,033.50 : 592,586.25 = 592,586.25 : x
  2. Step 2: Convert to fraction form
    385,033.50/592,586.25 = 592,586.25/x
  3. Step 3: Cross multiply
    385,033.50x = 592,586.25 × 592,586.25
  4. Step 4: Simplify right side
    385,033.50x = 351,158,463,689.06
  5. Step 5: Solve for x
    x = 351,158,463,689.06/385,033.50
  6. Step 6: Final answer
    x = 912,020.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.