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Finding the Third Proportional to 245,496 and 537,852

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Solution

The third proportional to 245,496 and 537,852 is: 1,178,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,496 : 537,852 = 537,852 : x
  2. Step 2: Convert to fraction form
    245,496/537,852 = 537,852/x
  3. Step 3: Cross multiply
    245,496x = 537,852 × 537,852
  4. Step 4: Simplify right side
    245,496x = 289,284,773,904
  5. Step 5: Solve for x
    x = 289,284,773,904/245,496
  6. Step 6: Final answer
    x = 1,178,368.58

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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.