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Finding the Third Proportional to 376,710.75 and 537,045.19

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Solution

The third proportional to 376,710.75 and 537,045.19 is: 765,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,710.75 : 537,045.19 = 537,045.19 : x
  2. Step 2: Convert to fraction form
    376,710.75/537,045.19 = 537,045.19/x
  3. Step 3: Cross multiply
    376,710.75x = 537,045.19 × 537,045.19
  4. Step 4: Simplify right side
    376,710.75x = 288,417,533,416.91
  5. Step 5: Solve for x
    x = 288,417,533,416.91/376,710.75
  6. Step 6: Final answer
    x = 765,620.66

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.