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Finding the Third Proportional to 249,338 and 540,948

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Solution

The third proportional to 249,338 and 540,948 is: 1,173,606.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,338 : 540,948 = 540,948 : x
  2. Step 2: Convert to fraction form
    249,338/540,948 = 540,948/x
  3. Step 3: Cross multiply
    249,338x = 540,948 × 540,948
  4. Step 4: Simplify right side
    249,338x = 292,624,738,704
  5. Step 5: Solve for x
    x = 292,624,738,704/249,338
  6. Step 6: Final answer
    x = 1,173,606.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.