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Finding the Third Proportional to 307,701 and 646,501.50

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Solution

The third proportional to 307,701 and 646,501.50 is: 1,358,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,701 : 646,501.50 = 646,501.50 : x
  2. Step 2: Convert to fraction form
    307,701/646,501.50 = 646,501.50/x
  3. Step 3: Cross multiply
    307,701x = 646,501.50 × 646,501.50
  4. Step 4: Simplify right side
    307,701x = 417,964,189,502.25
  5. Step 5: Solve for x
    x = 417,964,189,502.25/307,701
  6. Step 6: Final answer
    x = 1,358,345.24

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.