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Finding the Third Proportional to 249,977 and 549,982

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Solution

The third proportional to 249,977 and 549,982 is: 1,210,032.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,977 : 549,982 = 549,982 : x
  2. Step 2: Convert to fraction form
    249,977/549,982 = 549,982/x
  3. Step 3: Cross multiply
    249,977x = 549,982 × 549,982
  4. Step 4: Simplify right side
    249,977x = 302,480,200,324
  5. Step 5: Solve for x
    x = 302,480,200,324/249,977
  6. Step 6: Final answer
    x = 1,210,032.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.