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Finding the Third Proportional to 308,466 and 714,030

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Solution

The third proportional to 308,466 and 714,030 is: 1,652,820.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,466 : 714,030 = 714,030 : x
  2. Step 2: Convert to fraction form
    308,466/714,030 = 714,030/x
  3. Step 3: Cross multiply
    308,466x = 714,030 × 714,030
  4. Step 4: Simplify right side
    308,466x = 509,838,840,900
  5. Step 5: Solve for x
    x = 509,838,840,900/308,466
  6. Step 6: Final answer
    x = 1,652,820.22

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.