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Finding the Third Proportional to 364,573.13 and 534,547.13

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Solution

The third proportional to 364,573.13 and 534,547.13 is: 783,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,573.13 : 534,547.13 = 534,547.13 : x
  2. Step 2: Convert to fraction form
    364,573.13/534,547.13 = 534,547.13/x
  3. Step 3: Cross multiply
    364,573.13x = 534,547.13 × 534,547.13
  4. Step 4: Simplify right side
    364,573.13x = 285,740,628,845.77
  5. Step 5: Solve for x
    x = 285,740,628,845.77/364,573.13
  6. Step 6: Final answer
    x = 783,767.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.