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Finding the Third Proportional to 410,875 and 617,281.50

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Solution

The third proportional to 410,875 and 617,281.50 is: 927,378.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,875 : 617,281.50 = 617,281.50 : x
  2. Step 2: Convert to fraction form
    410,875/617,281.50 = 617,281.50/x
  3. Step 3: Cross multiply
    410,875x = 617,281.50 × 617,281.50
  4. Step 4: Simplify right side
    410,875x = 381,036,450,242.25
  5. Step 5: Solve for x
    x = 381,036,450,242.25/410,875
  6. Step 6: Final answer
    x = 927,378.04

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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.