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Finding the Third Proportional to 245,556 and 537,972

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Solution

The third proportional to 245,556 and 537,972 is: 1,178,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,556 : 537,972 = 537,972 : x
  2. Step 2: Convert to fraction form
    245,556/537,972 = 537,972/x
  3. Step 3: Cross multiply
    245,556x = 537,972 × 537,972
  4. Step 4: Simplify right side
    245,556x = 289,413,872,784
  5. Step 5: Solve for x
    x = 289,413,872,784/245,556
  6. Step 6: Final answer
    x = 1,178,606.40

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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.