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Finding the Third Proportional to 435,548 and 653,326

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Solution

The third proportional to 435,548 and 653,326 is: 979,995.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,548 : 653,326 = 653,326 : x
  2. Step 2: Convert to fraction form
    435,548/653,326 = 653,326/x
  3. Step 3: Cross multiply
    435,548x = 653,326 × 653,326
  4. Step 4: Simplify right side
    435,548x = 426,834,862,276
  5. Step 5: Solve for x
    x = 426,834,862,276/435,548
  6. Step 6: Final answer
    x = 979,995.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.