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Finding the Third Proportional to 249,478 and 384,058

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Solution

The third proportional to 249,478 and 384,058 is: 591,236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,478 : 384,058 = 384,058 : x
  2. Step 2: Convert to fraction form
    249,478/384,058 = 384,058/x
  3. Step 3: Cross multiply
    249,478x = 384,058 × 384,058
  4. Step 4: Simplify right side
    249,478x = 147,500,547,364
  5. Step 5: Solve for x
    x = 147,500,547,364/249,478
  6. Step 6: Final answer
    x = 591,236.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.