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Finding the Third Proportional to 278,030 and 595,428

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Solution

The third proportional to 278,030 and 595,428 is: 1,275,166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,030 : 595,428 = 595,428 : x
  2. Step 2: Convert to fraction form
    278,030/595,428 = 595,428/x
  3. Step 3: Cross multiply
    278,030x = 595,428 × 595,428
  4. Step 4: Simplify right side
    278,030x = 354,534,503,184
  5. Step 5: Solve for x
    x = 354,534,503,184/278,030
  6. Step 6: Final answer
    x = 1,275,166.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.