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Finding the Third Proportional to 600,125.63 and 1,303,283.25

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Solution

The third proportional to 600,125.63 and 1,303,283.25 is: 2,830,319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,125.63 : 1,303,283.25 = 1,303,283.25 : x
  2. Step 2: Convert to fraction form
    600,125.63/1,303,283.25 = 1,303,283.25/x
  3. Step 3: Cross multiply
    600,125.63x = 1,303,283.25 × 1,303,283.25
  4. Step 4: Simplify right side
    600,125.63x = 1,698,547,229,730.56
  5. Step 5: Solve for x
    x = 1,698,547,229,730.56/600,125.63
  6. Step 6: Final answer
    x = 2,830,319.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.