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Finding the Third Proportional to 346,304 and 720,316

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Solution

The third proportional to 346,304 and 720,316 is: 1,498,264.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,304 : 720,316 = 720,316 : x
  2. Step 2: Convert to fraction form
    346,304/720,316 = 720,316/x
  3. Step 3: Cross multiply
    346,304x = 720,316 × 720,316
  4. Step 4: Simplify right side
    346,304x = 518,855,139,856
  5. Step 5: Solve for x
    x = 518,855,139,856/346,304
  6. Step 6: Final answer
    x = 1,498,264.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.