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Finding the Third Proportional to 402,547.88 and 601,756.13

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Solution

The third proportional to 402,547.88 and 601,756.13 is: 899,546.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,547.88 : 601,756.13 = 601,756.13 : x
  2. Step 2: Convert to fraction form
    402,547.88/601,756.13 = 601,756.13/x
  3. Step 3: Cross multiply
    402,547.88x = 601,756.13 × 601,756.13
  4. Step 4: Simplify right side
    402,547.88x = 362,110,433,975.02
  5. Step 5: Solve for x
    x = 362,110,433,975.02/402,547.88
  6. Step 6: Final answer
    x = 899,546.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.