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Finding the Third Proportional to 249,798 and 380,922

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Solution

The third proportional to 249,798 and 380,922 is: 580,875.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,798 : 380,922 = 380,922 : x
  2. Step 2: Convert to fraction form
    249,798/380,922 = 380,922/x
  3. Step 3: Cross multiply
    249,798x = 380,922 × 380,922
  4. Step 4: Simplify right side
    249,798x = 145,101,570,084
  5. Step 5: Solve for x
    x = 145,101,570,084/249,798
  6. Step 6: Final answer
    x = 580,875.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.