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Finding the Third Proportional to 436,582.50 and 652,180.50

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Solution

The third proportional to 436,582.50 and 652,180.50 is: 974,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,582.50 : 652,180.50 = 652,180.50 : x
  2. Step 2: Convert to fraction form
    436,582.50/652,180.50 = 652,180.50/x
  3. Step 3: Cross multiply
    436,582.50x = 652,180.50 × 652,180.50
  4. Step 4: Simplify right side
    436,582.50x = 425,339,404,580.25
  5. Step 5: Solve for x
    x = 425,339,404,580.25/436,582.50
  6. Step 6: Final answer
    x = 974,247.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.