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Finding the Third Proportional to 348,545 and 715,963

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Solution

The third proportional to 348,545 and 715,963 is: 1,470,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,545 : 715,963 = 715,963 : x
  2. Step 2: Convert to fraction form
    348,545/715,963 = 715,963/x
  3. Step 3: Cross multiply
    348,545x = 715,963 × 715,963
  4. Step 4: Simplify right side
    348,545x = 512,603,017,369
  5. Step 5: Solve for x
    x = 512,603,017,369/348,545
  6. Step 6: Final answer
    x = 1,470,693.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.