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Finding the Third Proportional to 369,130 and 578,299

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Solution

The third proportional to 369,130 and 578,299 is: 905,994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,130 : 578,299 = 578,299 : x
  2. Step 2: Convert to fraction form
    369,130/578,299 = 578,299/x
  3. Step 3: Cross multiply
    369,130x = 578,299 × 578,299
  4. Step 4: Simplify right side
    369,130x = 334,429,733,401
  5. Step 5: Solve for x
    x = 334,429,733,401/369,130
  6. Step 6: Final answer
    x = 905,994.46

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.