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Finding the Third Proportional to 249,116 and 386,798

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Solution

The third proportional to 249,116 and 386,798 is: 600,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,116 : 386,798 = 386,798 : x
  2. Step 2: Convert to fraction form
    249,116/386,798 = 386,798/x
  3. Step 3: Cross multiply
    249,116x = 386,798 × 386,798
  4. Step 4: Simplify right side
    249,116x = 149,612,692,804
  5. Step 5: Solve for x
    x = 149,612,692,804/249,116
  6. Step 6: Final answer
    x = 600,574.40

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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.