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Finding the Third Proportional to 702,330.75 and 1,051,572.38

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Solution

The third proportional to 702,330.75 and 1,051,572.38 is: 1,574,478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,330.75 : 1,051,572.38 = 1,051,572.38 : x
  2. Step 2: Convert to fraction form
    702,330.75/1,051,572.38 = 1,051,572.38/x
  3. Step 3: Cross multiply
    702,330.75x = 1,051,572.38 × 1,051,572.38
  4. Step 4: Simplify right side
    702,330.75x = 1,105,804,459,863.14
  5. Step 5: Solve for x
    x = 1,105,804,459,863.14/702,330.75
  6. Step 6: Final answer
    x = 1,574,478.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.