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Finding the Third Proportional to 287,410 and 604,594

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Solution

The third proportional to 287,410 and 604,594 is: 1,271,820.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,410 : 604,594 = 604,594 : x
  2. Step 2: Convert to fraction form
    287,410/604,594 = 604,594/x
  3. Step 3: Cross multiply
    287,410x = 604,594 × 604,594
  4. Step 4: Simplify right side
    287,410x = 365,533,904,836
  5. Step 5: Solve for x
    x = 365,533,904,836/287,410
  6. Step 6: Final answer
    x = 1,271,820.41

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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.