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Finding the Third Proportional to 507,298.57 and 802,697.34

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Solution

The third proportional to 507,298.57 and 802,697.34 is: 1,270,106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,298.57 : 802,697.34 = 802,697.34 : x
  2. Step 2: Convert to fraction form
    507,298.57/802,697.34 = 802,697.34/x
  3. Step 3: Cross multiply
    507,298.57x = 802,697.34 × 802,697.34
  4. Step 4: Simplify right side
    507,298.57x = 644,323,025,663.31
  5. Step 5: Solve for x
    x = 644,323,025,663.31/507,298.57
  6. Step 6: Final answer
    x = 1,270,106.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.