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Finding the Third Proportional to 287,461 and 604,710

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Solution

The third proportional to 287,461 and 604,710 is: 1,272,082.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,461 : 604,710 = 604,710 : x
  2. Step 2: Convert to fraction form
    287,461/604,710 = 604,710/x
  3. Step 3: Cross multiply
    287,461x = 604,710 × 604,710
  4. Step 4: Simplify right side
    287,461x = 365,674,184,100
  5. Step 5: Solve for x
    x = 365,674,184,100/287,461
  6. Step 6: Final answer
    x = 1,272,082.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.