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Finding the Third Proportional to 492,079.50 and 803,515.50

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Solution

The third proportional to 492,079.50 and 803,515.50 is: 1,312,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,079.50 : 803,515.50 = 803,515.50 : x
  2. Step 2: Convert to fraction form
    492,079.50/803,515.50 = 803,515.50/x
  3. Step 3: Cross multiply
    492,079.50x = 803,515.50 × 803,515.50
  4. Step 4: Simplify right side
    492,079.50x = 645,637,158,740.25
  5. Step 5: Solve for x
    x = 645,637,158,740.25/492,079.50
  6. Step 6: Final answer
    x = 1,312,058.64

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.