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Finding the Third Proportional to 470,634 and 710,385

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Solution

The third proportional to 470,634 and 710,385 is: 1,072,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,634 : 710,385 = 710,385 : x
  2. Step 2: Convert to fraction form
    470,634/710,385 = 710,385/x
  3. Step 3: Cross multiply
    470,634x = 710,385 × 710,385
  4. Step 4: Simplify right side
    470,634x = 504,646,848,225
  5. Step 5: Solve for x
    x = 504,646,848,225/470,634
  6. Step 6: Final answer
    x = 1,072,270.27

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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.