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Finding the Third Proportional to 249,551 and 383,964

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Solution

The third proportional to 249,551 and 383,964 is: 590,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,551 : 383,964 = 383,964 : x
  2. Step 2: Convert to fraction form
    249,551/383,964 = 383,964/x
  3. Step 3: Cross multiply
    249,551x = 383,964 × 383,964
  4. Step 4: Simplify right side
    249,551x = 147,428,353,296
  5. Step 5: Solve for x
    x = 147,428,353,296/249,551
  6. Step 6: Final answer
    x = 590,774.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.