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Finding the Third Proportional to 249,357 and 534,444

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Solution

The third proportional to 249,357 and 534,444 is: 1,145,467.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,357 : 534,444 = 534,444 : x
  2. Step 2: Convert to fraction form
    249,357/534,444 = 534,444/x
  3. Step 3: Cross multiply
    249,357x = 534,444 × 534,444
  4. Step 4: Simplify right side
    249,357x = 285,630,389,136
  5. Step 5: Solve for x
    x = 285,630,389,136/249,357
  6. Step 6: Final answer
    x = 1,145,467.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.