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Finding the Third Proportional to 413,966.50 and 623,000.50

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Solution

The third proportional to 413,966.50 and 623,000.50 is: 937,587.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,966.50 : 623,000.50 = 623,000.50 : x
  2. Step 2: Convert to fraction form
    413,966.50/623,000.50 = 623,000.50/x
  3. Step 3: Cross multiply
    413,966.50x = 623,000.50 × 623,000.50
  4. Step 4: Simplify right side
    413,966.50x = 388,129,623,000.25
  5. Step 5: Solve for x
    x = 388,129,623,000.25/413,966.50
  6. Step 6: Final answer
    x = 937,587.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.