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Finding the Third Proportional to 241,428 and 375,948

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Solution

The third proportional to 241,428 and 375,948 is: 585,420.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,428 : 375,948 = 375,948 : x
  2. Step 2: Convert to fraction form
    241,428/375,948 = 375,948/x
  3. Step 3: Cross multiply
    241,428x = 375,948 × 375,948
  4. Step 4: Simplify right side
    241,428x = 141,336,898,704
  5. Step 5: Solve for x
    x = 141,336,898,704/241,428
  6. Step 6: Final answer
    x = 585,420.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.