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Finding the Third Proportional to 356,707.50 and 742,938

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Solution

The third proportional to 356,707.50 and 742,938 is: 1,547,365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,707.50 : 742,938 = 742,938 : x
  2. Step 2: Convert to fraction form
    356,707.50/742,938 = 742,938/x
  3. Step 3: Cross multiply
    356,707.50x = 742,938 × 742,938
  4. Step 4: Simplify right side
    356,707.50x = 551,956,871,844
  5. Step 5: Solve for x
    x = 551,956,871,844/356,707.50
  6. Step 6: Final answer
    x = 1,547,365.48

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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.