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Finding the Third Proportional to 350,748 and 513,000

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Solution

The third proportional to 350,748 and 513,000 is: 750,307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,748 : 513,000 = 513,000 : x
  2. Step 2: Convert to fraction form
    350,748/513,000 = 513,000/x
  3. Step 3: Cross multiply
    350,748x = 513,000 × 513,000
  4. Step 4: Simplify right side
    350,748x = 263,169,000,000
  5. Step 5: Solve for x
    x = 263,169,000,000/350,748
  6. Step 6: Final answer
    x = 750,307.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.