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Finding the Third Proportional to 328,043.25 and 506,030.63

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Solution

The third proportional to 328,043.25 and 506,030.63 is: 780,589.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,043.25 : 506,030.63 = 506,030.63 : x
  2. Step 2: Convert to fraction form
    328,043.25/506,030.63 = 506,030.63/x
  3. Step 3: Cross multiply
    328,043.25x = 506,030.63 × 506,030.63
  4. Step 4: Simplify right side
    328,043.25x = 256,066,993,437.89
  5. Step 5: Solve for x
    x = 256,066,993,437.89/328,043.25
  6. Step 6: Final answer
    x = 780,589.12

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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.