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Finding the Third Proportional to 502,281 and 611,995.50

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Solution

The third proportional to 502,281 and 611,995.50 is: 745,675.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,281 : 611,995.50 = 611,995.50 : x
  2. Step 2: Convert to fraction form
    502,281/611,995.50 = 611,995.50/x
  3. Step 3: Cross multiply
    502,281x = 611,995.50 × 611,995.50
  4. Step 4: Simplify right side
    502,281x = 374,538,492,020.25
  5. Step 5: Solve for x
    x = 374,538,492,020.25/502,281
  6. Step 6: Final answer
    x = 745,675.21

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.