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Finding the Third Proportional to 249,894 and 544,158

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Solution

The third proportional to 249,894 and 544,158 is: 1,184,934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,894 : 544,158 = 544,158 : x
  2. Step 2: Convert to fraction form
    249,894/544,158 = 544,158/x
  3. Step 3: Cross multiply
    249,894x = 544,158 × 544,158
  4. Step 4: Simplify right side
    249,894x = 296,107,928,964
  5. Step 5: Solve for x
    x = 296,107,928,964/249,894
  6. Step 6: Final answer
    x = 1,184,934.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.