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Finding the Third Proportional to 315,078 and 470,557

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Solution

The third proportional to 315,078 and 470,557 is: 702,758.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,078 : 470,557 = 470,557 : x
  2. Step 2: Convert to fraction form
    315,078/470,557 = 470,557/x
  3. Step 3: Cross multiply
    315,078x = 470,557 × 470,557
  4. Step 4: Simplify right side
    315,078x = 221,423,890,249
  5. Step 5: Solve for x
    x = 221,423,890,249/315,078
  6. Step 6: Final answer
    x = 702,758.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.