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Finding the Third Proportional to 292,394 and 607,772

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Solution

The third proportional to 292,394 and 607,772 is: 1,263,318.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,394 : 607,772 = 607,772 : x
  2. Step 2: Convert to fraction form
    292,394/607,772 = 607,772/x
  3. Step 3: Cross multiply
    292,394x = 607,772 × 607,772
  4. Step 4: Simplify right side
    292,394x = 369,386,803,984
  5. Step 5: Solve for x
    x = 369,386,803,984/292,394
  6. Step 6: Final answer
    x = 1,263,318.69

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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.