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Finding the Third Proportional to 506,196 and 712,028

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Solution

The third proportional to 506,196 and 712,028 is: 1,001,556.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,196 : 712,028 = 712,028 : x
  2. Step 2: Convert to fraction form
    506,196/712,028 = 712,028/x
  3. Step 3: Cross multiply
    506,196x = 712,028 × 712,028
  4. Step 4: Simplify right side
    506,196x = 506,983,872,784
  5. Step 5: Solve for x
    x = 506,983,872,784/506,196
  6. Step 6: Final answer
    x = 1,001,556.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.