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Finding the Third Proportional to 249,462 and 383,418

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Solution

The third proportional to 249,462 and 383,418 is: 589,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,462 : 383,418 = 383,418 : x
  2. Step 2: Convert to fraction form
    249,462/383,418 = 383,418/x
  3. Step 3: Cross multiply
    249,462x = 383,418 × 383,418
  4. Step 4: Simplify right side
    249,462x = 147,009,362,724
  5. Step 5: Solve for x
    x = 147,009,362,724/249,462
  6. Step 6: Final answer
    x = 589,305.64

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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.