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Finding the Third Proportional to 464,402 and 708,614

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Solution

The third proportional to 464,402 and 708,614 is: 1,081,248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,402 : 708,614 = 708,614 : x
  2. Step 2: Convert to fraction form
    464,402/708,614 = 708,614/x
  3. Step 3: Cross multiply
    464,402x = 708,614 × 708,614
  4. Step 4: Simplify right side
    464,402x = 502,133,800,996
  5. Step 5: Solve for x
    x = 502,133,800,996/464,402
  6. Step 6: Final answer
    x = 1,081,248.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.