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Finding the Third Proportional to 413,938.50 and 607,276.50

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Solution

The third proportional to 413,938.50 and 607,276.50 is: 890,916.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,938.50 : 607,276.50 = 607,276.50 : x
  2. Step 2: Convert to fraction form
    413,938.50/607,276.50 = 607,276.50/x
  3. Step 3: Cross multiply
    413,938.50x = 607,276.50 × 607,276.50
  4. Step 4: Simplify right side
    413,938.50x = 368,784,747,452.25
  5. Step 5: Solve for x
    x = 368,784,747,452.25/413,938.50
  6. Step 6: Final answer
    x = 890,916.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.