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Finding the Third Proportional to 415,994 and 594,459

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Solution

The third proportional to 415,994 and 594,459 is: 849,487.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,994 : 594,459 = 594,459 : x
  2. Step 2: Convert to fraction form
    415,994/594,459 = 594,459/x
  3. Step 3: Cross multiply
    415,994x = 594,459 × 594,459
  4. Step 4: Simplify right side
    415,994x = 353,381,502,681
  5. Step 5: Solve for x
    x = 353,381,502,681/415,994
  6. Step 6: Final answer
    x = 849,487.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.