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Finding the Third Proportional to 355,762.13 and 569,009.81

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Solution

The third proportional to 355,762.13 and 569,009.81 is: 910,080.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,762.13 : 569,009.81 = 569,009.81 : x
  2. Step 2: Convert to fraction form
    355,762.13/569,009.81 = 569,009.81/x
  3. Step 3: Cross multiply
    355,762.13x = 569,009.81 × 569,009.81
  4. Step 4: Simplify right side
    355,762.13x = 323,772,166,721.29
  5. Step 5: Solve for x
    x = 323,772,166,721.29/355,762.13
  6. Step 6: Final answer
    x = 910,080.48

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.