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Finding the Third Proportional to 235,390 and 514,792

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Solution

The third proportional to 235,390 and 514,792 is: 1,125,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,390 : 514,792 = 514,792 : x
  2. Step 2: Convert to fraction form
    235,390/514,792 = 514,792/x
  3. Step 3: Cross multiply
    235,390x = 514,792 × 514,792
  4. Step 4: Simplify right side
    235,390x = 265,010,803,264
  5. Step 5: Solve for x
    x = 265,010,803,264/235,390
  6. Step 6: Final answer
    x = 1,125,837.14

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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.