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Finding the Third Proportional to 407,875.50 and 573,358.50

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Solution

The third proportional to 407,875.50 and 573,358.50 is: 805,981.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,875.50 : 573,358.50 = 573,358.50 : x
  2. Step 2: Convert to fraction form
    407,875.50/573,358.50 = 573,358.50/x
  3. Step 3: Cross multiply
    407,875.50x = 573,358.50 × 573,358.50
  4. Step 4: Simplify right side
    407,875.50x = 328,739,969,522.25
  5. Step 5: Solve for x
    x = 328,739,969,522.25/407,875.50
  6. Step 6: Final answer
    x = 805,981.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.