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Finding the Third Proportional to 372,502.13 and 778,730.63

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Solution

The third proportional to 372,502.13 and 778,730.63 is: 1,627,967.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,502.13 : 778,730.63 = 778,730.63 : x
  2. Step 2: Convert to fraction form
    372,502.13/778,730.63 = 778,730.63/x
  3. Step 3: Cross multiply
    372,502.13x = 778,730.63 × 778,730.63
  4. Step 4: Simplify right side
    372,502.13x = 606,421,386,312.89
  5. Step 5: Solve for x
    x = 606,421,386,312.89/372,502.13
  6. Step 6: Final answer
    x = 1,627,967.59

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.