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Finding the Third Proportional to 385,924.50 and 586,237.50

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Solution

The third proportional to 385,924.50 and 586,237.50 is: 890,522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,924.50 : 586,237.50 = 586,237.50 : x
  2. Step 2: Convert to fraction form
    385,924.50/586,237.50 = 586,237.50/x
  3. Step 3: Cross multiply
    385,924.50x = 586,237.50 × 586,237.50
  4. Step 4: Simplify right side
    385,924.50x = 343,674,406,406.25
  5. Step 5: Solve for x
    x = 343,674,406,406.25/385,924.50
  6. Step 6: Final answer
    x = 890,522.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.