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Finding the Third Proportional to 235,388 and 514,788

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Solution

The third proportional to 235,388 and 514,788 is: 1,125,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,388 : 514,788 = 514,788 : x
  2. Step 2: Convert to fraction form
    235,388/514,788 = 514,788/x
  3. Step 3: Cross multiply
    235,388x = 514,788 × 514,788
  4. Step 4: Simplify right side
    235,388x = 265,006,684,944
  5. Step 5: Solve for x
    x = 265,006,684,944/235,388
  6. Step 6: Final answer
    x = 1,125,829.21

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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.