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Finding the Third Proportional to 249,324 and 545,385

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Solution

The third proportional to 249,324 and 545,385 is: 1,193,005.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,324 : 545,385 = 545,385 : x
  2. Step 2: Convert to fraction form
    249,324/545,385 = 545,385/x
  3. Step 3: Cross multiply
    249,324x = 545,385 × 545,385
  4. Step 4: Simplify right side
    249,324x = 297,444,798,225
  5. Step 5: Solve for x
    x = 297,444,798,225/249,324
  6. Step 6: Final answer
    x = 1,193,005.08

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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.