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Finding the Third Proportional to 704,119.50 and 1,059,547.50

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Solution

The third proportional to 704,119.50 and 1,059,547.50 is: 1,594,389.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,119.50 : 1,059,547.50 = 1,059,547.50 : x
  2. Step 2: Convert to fraction form
    704,119.50/1,059,547.50 = 1,059,547.50/x
  3. Step 3: Cross multiply
    704,119.50x = 1,059,547.50 × 1,059,547.50
  4. Step 4: Simplify right side
    704,119.50x = 1,122,640,904,756.25
  5. Step 5: Solve for x
    x = 1,122,640,904,756.25/704,119.50
  6. Step 6: Final answer
    x = 1,594,389.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.