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Finding the Third Proportional to 564,994 and 837,715

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Solution

The third proportional to 564,994 and 837,715 is: 1,242,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,994 : 837,715 = 837,715 : x
  2. Step 2: Convert to fraction form
    564,994/837,715 = 837,715/x
  3. Step 3: Cross multiply
    564,994x = 837,715 × 837,715
  4. Step 4: Simplify right side
    564,994x = 701,766,421,225
  5. Step 5: Solve for x
    x = 701,766,421,225/564,994
  6. Step 6: Final answer
    x = 1,242,077.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.