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Finding the Third Proportional to 346,114 and 506,031

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Solution

The third proportional to 346,114 and 506,031 is: 739,835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,114 : 506,031 = 506,031 : x
  2. Step 2: Convert to fraction form
    346,114/506,031 = 506,031/x
  3. Step 3: Cross multiply
    346,114x = 506,031 × 506,031
  4. Step 4: Simplify right side
    346,114x = 256,067,372,961
  5. Step 5: Solve for x
    x = 256,067,372,961/346,114
  6. Step 6: Final answer
    x = 739,835.35

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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.