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Finding the Third Proportional to 329,302.75 and 496,547.75

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Solution

The third proportional to 329,302.75 and 496,547.75 is: 748,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,302.75 : 496,547.75 = 496,547.75 : x
  2. Step 2: Convert to fraction form
    329,302.75/496,547.75 = 496,547.75/x
  3. Step 3: Cross multiply
    329,302.75x = 496,547.75 × 496,547.75
  4. Step 4: Simplify right side
    329,302.75x = 246,559,668,030.06
  5. Step 5: Solve for x
    x = 246,559,668,030.06/329,302.75
  6. Step 6: Final answer
    x = 748,732.49

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