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Finding the Third Proportional to 430,943 and 916,354

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Solution

The third proportional to 430,943 and 916,354 is: 1,948,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,943 : 916,354 = 916,354 : x
  2. Step 2: Convert to fraction form
    430,943/916,354 = 916,354/x
  3. Step 3: Cross multiply
    430,943x = 916,354 × 916,354
  4. Step 4: Simplify right side
    430,943x = 839,704,653,316
  5. Step 5: Solve for x
    x = 839,704,653,316/430,943
  6. Step 6: Final answer
    x = 1,948,528.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.