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Finding the Third Proportional to 356,461 and 742,306

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Solution

The third proportional to 356,461 and 742,306 is: 1,545,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,461 : 742,306 = 742,306 : x
  2. Step 2: Convert to fraction form
    356,461/742,306 = 742,306/x
  3. Step 3: Cross multiply
    356,461x = 742,306 × 742,306
  4. Step 4: Simplify right side
    356,461x = 551,018,197,636
  5. Step 5: Solve for x
    x = 551,018,197,636/356,461
  6. Step 6: Final answer
    x = 1,545,802.20

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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.