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Finding the Third Proportional to 249,018 and 373,782

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Solution

The third proportional to 249,018 and 373,782 is: 561,055.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,018 : 373,782 = 373,782 : x
  2. Step 2: Convert to fraction form
    249,018/373,782 = 373,782/x
  3. Step 3: Cross multiply
    249,018x = 373,782 × 373,782
  4. Step 4: Simplify right side
    249,018x = 139,712,983,524
  5. Step 5: Solve for x
    x = 139,712,983,524/249,018
  6. Step 6: Final answer
    x = 561,055.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.