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Finding the Third Proportional to 562,352.63 and 803,602.13

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Solution

The third proportional to 562,352.63 and 803,602.13 is: 1,148,347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,352.63 : 803,602.13 = 803,602.13 : x
  2. Step 2: Convert to fraction form
    562,352.63/803,602.13 = 803,602.13/x
  3. Step 3: Cross multiply
    562,352.63x = 803,602.13 × 803,602.13
  4. Step 4: Simplify right side
    562,352.63x = 645,776,375,304.52
  5. Step 5: Solve for x
    x = 645,776,375,304.52/562,352.63
  6. Step 6: Final answer
    x = 1,148,347.76

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Why These Related Problems?

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