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Finding the Third Proportional to 470,504 and 710,139

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Solution

The third proportional to 470,504 and 710,139 is: 1,071,823.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,504 : 710,139 = 710,139 : x
  2. Step 2: Convert to fraction form
    470,504/710,139 = 710,139/x
  3. Step 3: Cross multiply
    470,504x = 710,139 × 710,139
  4. Step 4: Simplify right side
    470,504x = 504,297,399,321
  5. Step 5: Solve for x
    x = 504,297,399,321/470,504
  6. Step 6: Final answer
    x = 1,071,823.83

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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.