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Finding the Third Proportional to 503,206 and 761,352

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Solution

The third proportional to 503,206 and 761,352 is: 1,151,927.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,206 : 761,352 = 761,352 : x
  2. Step 2: Convert to fraction form
    503,206/761,352 = 761,352/x
  3. Step 3: Cross multiply
    503,206x = 761,352 × 761,352
  4. Step 4: Simplify right side
    503,206x = 579,656,867,904
  5. Step 5: Solve for x
    x = 579,656,867,904/503,206
  6. Step 6: Final answer
    x = 1,151,927.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.