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Finding the Third Proportional to 503,408 and 761,560

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Solution

The third proportional to 503,408 and 761,560 is: 1,152,094.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,408 : 761,560 = 761,560 : x
  2. Step 2: Convert to fraction form
    503,408/761,560 = 761,560/x
  3. Step 3: Cross multiply
    503,408x = 761,560 × 761,560
  4. Step 4: Simplify right side
    503,408x = 579,973,633,600
  5. Step 5: Solve for x
    x = 579,973,633,600/503,408
  6. Step 6: Final answer
    x = 1,152,094.59

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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.