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Finding the Third Proportional to 296,551.13 and 459,573.75

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Solution

The third proportional to 296,551.13 and 459,573.75 is: 712,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,551.13 : 459,573.75 = 459,573.75 : x
  2. Step 2: Convert to fraction form
    296,551.13/459,573.75 = 459,573.75/x
  3. Step 3: Cross multiply
    296,551.13x = 459,573.75 × 459,573.75
  4. Step 4: Simplify right side
    296,551.13x = 211,208,031,689.06
  5. Step 5: Solve for x
    x = 211,208,031,689.06/296,551.13
  6. Step 6: Final answer
    x = 712,214.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.