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Finding the Third Proportional to 290,590 and 390,504

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Solution

The third proportional to 290,590 and 390,504 is: 524,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,590 : 390,504 = 390,504 : x
  2. Step 2: Convert to fraction form
    290,590/390,504 = 390,504/x
  3. Step 3: Cross multiply
    290,590x = 390,504 × 390,504
  4. Step 4: Simplify right side
    290,590x = 152,493,374,016
  5. Step 5: Solve for x
    x = 152,493,374,016/290,590
  6. Step 6: Final answer
    x = 524,771.58

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.