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Finding the Third Proportional to 233,730 and 502,500

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Solution

The third proportional to 233,730 and 502,500 is: 1,080,333.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,730 : 502,500 = 502,500 : x
  2. Step 2: Convert to fraction form
    233,730/502,500 = 502,500/x
  3. Step 3: Cross multiply
    233,730x = 502,500 × 502,500
  4. Step 4: Simplify right side
    233,730x = 252,506,250,000
  5. Step 5: Solve for x
    x = 252,506,250,000/233,730
  6. Step 6: Final answer
    x = 1,080,333.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.