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Finding the Third Proportional to 623,407.50 and 1,363,455

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Solution

The third proportional to 623,407.50 and 1,363,455 is: 2,982,013.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,407.50 : 1,363,455 = 1,363,455 : x
  2. Step 2: Convert to fraction form
    623,407.50/1,363,455 = 1,363,455/x
  3. Step 3: Cross multiply
    623,407.50x = 1,363,455 × 1,363,455
  4. Step 4: Simplify right side
    623,407.50x = 1,859,009,537,025
  5. Step 5: Solve for x
    x = 1,859,009,537,025/623,407.50
  6. Step 6: Final answer
    x = 2,982,013.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.