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Finding the Third Proportional to 470,590 and 710,273

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Solution

The third proportional to 470,590 and 710,273 is: 1,072,032.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,590 : 710,273 = 710,273 : x
  2. Step 2: Convert to fraction form
    470,590/710,273 = 710,273/x
  3. Step 3: Cross multiply
    470,590x = 710,273 × 710,273
  4. Step 4: Simplify right side
    470,590x = 504,487,734,529
  5. Step 5: Solve for x
    x = 504,487,734,529/470,590
  6. Step 6: Final answer
    x = 1,072,032.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.