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Finding the Third Proportional to 435,024 and 638,160

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Solution

The third proportional to 435,024 and 638,160 is: 936,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,024 : 638,160 = 638,160 : x
  2. Step 2: Convert to fraction form
    435,024/638,160 = 638,160/x
  3. Step 3: Cross multiply
    435,024x = 638,160 × 638,160
  4. Step 4: Simplify right side
    435,024x = 407,248,185,600
  5. Step 5: Solve for x
    x = 407,248,185,600/435,024
  6. Step 6: Final answer
    x = 936,151.08

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Why These Related Problems?

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