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Finding the Third Proportional to 280,062 and 614,547

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Solution

The third proportional to 280,062 and 614,547 is: 1,348,515.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,062 : 614,547 = 614,547 : x
  2. Step 2: Convert to fraction form
    280,062/614,547 = 614,547/x
  3. Step 3: Cross multiply
    280,062x = 614,547 × 614,547
  4. Step 4: Simplify right side
    280,062x = 377,668,015,209
  5. Step 5: Solve for x
    x = 377,668,015,209/280,062
  6. Step 6: Final answer
    x = 1,348,515.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.