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Finding the Third Proportional to 295,413 and 712,221

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Solution

The third proportional to 295,413 and 712,221 is: 1,717,117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,413 : 712,221 = 712,221 : x
  2. Step 2: Convert to fraction form
    295,413/712,221 = 712,221/x
  3. Step 3: Cross multiply
    295,413x = 712,221 × 712,221
  4. Step 4: Simplify right side
    295,413x = 507,258,752,841
  5. Step 5: Solve for x
    x = 507,258,752,841/295,413
  6. Step 6: Final answer
    x = 1,717,117.23

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.