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Finding the Third Proportional to 286,914 and 626,316

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Solution

The third proportional to 286,914 and 626,316 is: 1,367,210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,914 : 626,316 = 626,316 : x
  2. Step 2: Convert to fraction form
    286,914/626,316 = 626,316/x
  3. Step 3: Cross multiply
    286,914x = 626,316 × 626,316
  4. Step 4: Simplify right side
    286,914x = 392,271,731,856
  5. Step 5: Solve for x
    x = 392,271,731,856/286,914
  6. Step 6: Final answer
    x = 1,367,210.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.