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Finding the Third Proportional to 249,426.84 and 565,435.69

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Solution

The third proportional to 249,426.84 and 565,435.69 is: 1,281,808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,426.84 : 565,435.69 = 565,435.69 : x
  2. Step 2: Convert to fraction form
    249,426.84/565,435.69 = 565,435.69/x
  3. Step 3: Cross multiply
    249,426.84x = 565,435.69 × 565,435.69
  4. Step 4: Simplify right side
    249,426.84x = 319,717,516,698.60
  5. Step 5: Solve for x
    x = 319,717,516,698.60/249,426.84
  6. Step 6: Final answer
    x = 1,281,808.77

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.