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Finding the Third Proportional to 249,087 and 376,578

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Solution

The third proportional to 249,087 and 376,578 is: 569,323.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,087 : 376,578 = 376,578 : x
  2. Step 2: Convert to fraction form
    249,087/376,578 = 376,578/x
  3. Step 3: Cross multiply
    249,087x = 376,578 × 376,578
  4. Step 4: Simplify right side
    249,087x = 141,810,990,084
  5. Step 5: Solve for x
    x = 141,810,990,084/249,087
  6. Step 6: Final answer
    x = 569,323.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.