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Finding the Third Proportional to 249,426 and 545,436

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Solution

The third proportional to 249,426 and 545,436 is: 1,192,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,426 : 545,436 = 545,436 : x
  2. Step 2: Convert to fraction form
    249,426/545,436 = 545,436/x
  3. Step 3: Cross multiply
    249,426x = 545,436 × 545,436
  4. Step 4: Simplify right side
    249,426x = 297,500,430,096
  5. Step 5: Solve for x
    x = 297,500,430,096/249,426
  6. Step 6: Final answer
    x = 1,192,740.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.