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Finding the Third Proportional to 284,127 and 473,482.50

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Solution

The third proportional to 284,127 and 473,482.50 is: 789,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,127 : 473,482.50 = 473,482.50 : x
  2. Step 2: Convert to fraction form
    284,127/473,482.50 = 473,482.50/x
  3. Step 3: Cross multiply
    284,127x = 473,482.50 × 473,482.50
  4. Step 4: Simplify right side
    284,127x = 224,185,677,806.25
  5. Step 5: Solve for x
    x = 224,185,677,806.25/284,127
  6. Step 6: Final answer
    x = 789,033.35

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.