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Finding the Third Proportional to 235,426 and 514,865

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Solution

The third proportional to 235,426 and 514,865 is: 1,125,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,426 : 514,865 = 514,865 : x
  2. Step 2: Convert to fraction form
    235,426/514,865 = 514,865/x
  3. Step 3: Cross multiply
    235,426x = 514,865 × 514,865
  4. Step 4: Simplify right side
    235,426x = 265,085,968,225
  5. Step 5: Solve for x
    x = 265,085,968,225/235,426
  6. Step 6: Final answer
    x = 1,125,984.25

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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.