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Finding the Third Proportional to 328,045 and 506,034

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Solution

The third proportional to 328,045 and 506,034 is: 780,595.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,045 : 506,034 = 506,034 : x
  2. Step 2: Convert to fraction form
    328,045/506,034 = 506,034/x
  3. Step 3: Cross multiply
    328,045x = 506,034 × 506,034
  4. Step 4: Simplify right side
    328,045x = 256,070,409,156
  5. Step 5: Solve for x
    x = 256,070,409,156/328,045
  6. Step 6: Final answer
    x = 780,595.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.