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Finding the Third Proportional to 245,442 and 537,729

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Solution

The third proportional to 245,442 and 537,729 is: 1,178,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,442 : 537,729 = 537,729 : x
  2. Step 2: Convert to fraction form
    245,442/537,729 = 537,729/x
  3. Step 3: Cross multiply
    245,442x = 537,729 × 537,729
  4. Step 4: Simplify right side
    245,442x = 289,152,477,441
  5. Step 5: Solve for x
    x = 289,152,477,441/245,442
  6. Step 6: Final answer
    x = 1,178,088.83

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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.