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Finding the Third Proportional to 390,575 and 590,052

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Solution

The third proportional to 390,575 and 590,052 is: 891,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,575 : 590,052 = 590,052 : x
  2. Step 2: Convert to fraction form
    390,575/590,052 = 590,052/x
  3. Step 3: Cross multiply
    390,575x = 590,052 × 590,052
  4. Step 4: Simplify right side
    390,575x = 348,161,362,704
  5. Step 5: Solve for x
    x = 348,161,362,704/390,575
  6. Step 6: Final answer
    x = 891,407.19

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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.