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Finding the Third Proportional to 803,430.75 and 1,066,271.63

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Solution

The third proportional to 803,430.75 and 1,066,271.63 is: 1,415,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,430.75 : 1,066,271.63 = 1,066,271.63 : x
  2. Step 2: Convert to fraction form
    803,430.75/1,066,271.63 = 1,066,271.63/x
  3. Step 3: Cross multiply
    803,430.75x = 1,066,271.63 × 1,066,271.63
  4. Step 4: Simplify right side
    803,430.75x = 1,136,935,178,280.14
  5. Step 5: Solve for x
    x = 1,136,935,178,280.14/803,430.75
  6. Step 6: Final answer
    x = 1,415,100.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.