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Finding the Third Proportional to 249,477 and 390,906

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Solution

The third proportional to 249,477 and 390,906 is: 612,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,477 : 390,906 = 390,906 : x
  2. Step 2: Convert to fraction form
    249,477/390,906 = 390,906/x
  3. Step 3: Cross multiply
    249,477x = 390,906 × 390,906
  4. Step 4: Simplify right side
    249,477x = 152,807,500,836
  5. Step 5: Solve for x
    x = 152,807,500,836/249,477
  6. Step 6: Final answer
    x = 612,511.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.