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Finding the Third Proportional to 385,026 and 592,575

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Solution

The third proportional to 385,026 and 592,575 is: 912,003.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,026 : 592,575 = 592,575 : x
  2. Step 2: Convert to fraction form
    385,026/592,575 = 592,575/x
  3. Step 3: Cross multiply
    385,026x = 592,575 × 592,575
  4. Step 4: Simplify right side
    385,026x = 351,145,130,625
  5. Step 5: Solve for x
    x = 351,145,130,625/385,026
  6. Step 6: Final answer
    x = 912,003.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.