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Finding the Third Proportional to 453,645 and 705,579.75

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Solution

The third proportional to 453,645 and 705,579.75 is: 1,097,428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,645 : 705,579.75 = 705,579.75 : x
  2. Step 2: Convert to fraction form
    453,645/705,579.75 = 705,579.75/x
  3. Step 3: Cross multiply
    453,645x = 705,579.75 × 705,579.75
  4. Step 4: Simplify right side
    453,645x = 497,842,783,610.06
  5. Step 5: Solve for x
    x = 497,842,783,610.06/453,645
  6. Step 6: Final answer
    x = 1,097,428.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.