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Finding the Third Proportional to 357,907.78 and 767,048.06

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Solution

The third proportional to 357,907.78 and 767,048.06 is: 1,643,894.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,907.78 : 767,048.06 = 767,048.06 : x
  2. Step 2: Convert to fraction form
    357,907.78/767,048.06 = 767,048.06/x
  3. Step 3: Cross multiply
    357,907.78x = 767,048.06 × 767,048.06
  4. Step 4: Simplify right side
    357,907.78x = 588,362,730,185.00
  5. Step 5: Solve for x
    x = 588,362,730,185.00/357,907.78
  6. Step 6: Final answer
    x = 1,643,894.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.