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Finding the Third Proportional to 356,712.75 and 742,950

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Solution

The third proportional to 356,712.75 and 742,950 is: 1,547,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,712.75 : 742,950 = 742,950 : x
  2. Step 2: Convert to fraction form
    356,712.75/742,950 = 742,950/x
  3. Step 3: Cross multiply
    356,712.75x = 742,950 × 742,950
  4. Step 4: Simplify right side
    356,712.75x = 551,974,702,500
  5. Step 5: Solve for x
    x = 551,974,702,500/356,712.75
  6. Step 6: Final answer
    x = 1,547,392.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.