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Finding the Third Proportional to 588,688.13 and 1,271,477.63

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Solution

The third proportional to 588,688.13 and 1,271,477.63 is: 2,746,200.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,688.13 : 1,271,477.63 = 1,271,477.63 : x
  2. Step 2: Convert to fraction form
    588,688.13/1,271,477.63 = 1,271,477.63/x
  3. Step 3: Cross multiply
    588,688.13x = 1,271,477.63 × 1,271,477.63
  4. Step 4: Simplify right side
    588,688.13x = 1,616,655,350,875.64
  5. Step 5: Solve for x
    x = 1,616,655,350,875.64/588,688.13
  6. Step 6: Final answer
    x = 2,746,200.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.