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Finding the Third Proportional to 287,411.91 and 604,598.06

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Solution

The third proportional to 287,411.91 and 604,598.06 is: 1,271,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,411.91 : 604,598.06 = 604,598.06 : x
  2. Step 2: Convert to fraction form
    287,411.91/604,598.06 = 604,598.06/x
  3. Step 3: Cross multiply
    287,411.91x = 604,598.06 × 604,598.06
  4. Step 4: Simplify right side
    287,411.91x = 365,538,817,178.75
  5. Step 5: Solve for x
    x = 365,538,817,178.75/287,411.91
  6. Step 6: Final answer
    x = 1,271,829.07

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