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Finding the Third Proportional to 517,053 and 744,709.50

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Solution

The third proportional to 517,053 and 744,709.50 is: 1,072,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,053 : 744,709.50 = 744,709.50 : x
  2. Step 2: Convert to fraction form
    517,053/744,709.50 = 744,709.50/x
  3. Step 3: Cross multiply
    517,053x = 744,709.50 × 744,709.50
  4. Step 4: Simplify right side
    517,053x = 554,592,239,390.25
  5. Step 5: Solve for x
    x = 554,592,239,390.25/517,053
  6. Step 6: Final answer
    x = 1,072,602.30

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.