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Finding the Third Proportional to 289,352.25 and 460,434.38

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Solution

The third proportional to 289,352.25 and 460,434.38 is: 732,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,352.25 : 460,434.38 = 460,434.38 : x
  2. Step 2: Convert to fraction form
    289,352.25/460,434.38 = 460,434.38/x
  3. Step 3: Cross multiply
    289,352.25x = 460,434.38 × 460,434.38
  4. Step 4: Simplify right side
    289,352.25x = 211,999,813,681.64
  5. Step 5: Solve for x
    x = 211,999,813,681.64/289,352.25
  6. Step 6: Final answer
    x = 732,670.35

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.