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Finding the Third Proportional to 273,088.50 and 417,946.50

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Solution

The third proportional to 273,088.50 and 417,946.50 is: 639,643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,088.50 : 417,946.50 = 417,946.50 : x
  2. Step 2: Convert to fraction form
    273,088.50/417,946.50 = 417,946.50/x
  3. Step 3: Cross multiply
    273,088.50x = 417,946.50 × 417,946.50
  4. Step 4: Simplify right side
    273,088.50x = 174,679,276,862.25
  5. Step 5: Solve for x
    x = 174,679,276,862.25/273,088.50
  6. Step 6: Final answer
    x = 639,643.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.