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Finding the Third Proportional to 291,280.50 and 623,040

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Solution

The third proportional to 291,280.50 and 623,040 is: 1,332,663.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,280.50 : 623,040 = 623,040 : x
  2. Step 2: Convert to fraction form
    291,280.50/623,040 = 623,040/x
  3. Step 3: Cross multiply
    291,280.50x = 623,040 × 623,040
  4. Step 4: Simplify right side
    291,280.50x = 388,178,841,600
  5. Step 5: Solve for x
    x = 388,178,841,600/291,280.50
  6. Step 6: Final answer
    x = 1,332,663.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.