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Finding the Third Proportional to 435,972 and 585,888

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Solution

The third proportional to 435,972 and 585,888 is: 787,355.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,972 : 585,888 = 585,888 : x
  2. Step 2: Convert to fraction form
    435,972/585,888 = 585,888/x
  3. Step 3: Cross multiply
    435,972x = 585,888 × 585,888
  4. Step 4: Simplify right side
    435,972x = 343,264,748,544
  5. Step 5: Solve for x
    x = 343,264,748,544/435,972
  6. Step 6: Final answer
    x = 787,355.03

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.