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Finding the Third Proportional to 562,393.13 and 803,656.69

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Solution

The third proportional to 562,393.13 and 803,656.69 is: 1,148,420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,393.13 : 803,656.69 = 803,656.69 : x
  2. Step 2: Convert to fraction form
    562,393.13/803,656.69 = 803,656.69/x
  3. Step 3: Cross multiply
    562,393.13x = 803,656.69 × 803,656.69
  4. Step 4: Simplify right side
    562,393.13x = 645,864,071,363.47
  5. Step 5: Solve for x
    x = 645,864,071,363.47/562,393.13
  6. Step 6: Final answer
    x = 1,148,420.99

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.