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Finding the Third Proportional to 249,212 and 386,526

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Solution

The third proportional to 249,212 and 386,526 is: 599,499.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,212 : 386,526 = 386,526 : x
  2. Step 2: Convert to fraction form
    249,212/386,526 = 386,526/x
  3. Step 3: Cross multiply
    249,212x = 386,526 × 386,526
  4. Step 4: Simplify right side
    249,212x = 149,402,348,676
  5. Step 5: Solve for x
    x = 149,402,348,676/249,212
  6. Step 6: Final answer
    x = 599,499.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.