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Finding the Third Proportional to 724,496.97 and 1,064,592.59

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Solution

The third proportional to 724,496.97 and 1,064,592.59 is: 1,564,336.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,496.97 : 1,064,592.59 = 1,064,592.59 : x
  2. Step 2: Convert to fraction form
    724,496.97/1,064,592.59 = 1,064,592.59/x
  3. Step 3: Cross multiply
    724,496.97x = 1,064,592.59 × 1,064,592.59
  4. Step 4: Simplify right side
    724,496.97x = 1,133,357,390,667.35
  5. Step 5: Solve for x
    x = 1,133,357,390,667.35/724,496.97
  6. Step 6: Final answer
    x = 1,564,336.97

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.