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Finding the Third Proportional to 459,931.50 and 1,005,363

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Solution

The third proportional to 459,931.50 and 1,005,363 is: 2,197,620.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,931.50 : 1,005,363 = 1,005,363 : x
  2. Step 2: Convert to fraction form
    459,931.50/1,005,363 = 1,005,363/x
  3. Step 3: Cross multiply
    459,931.50x = 1,005,363 × 1,005,363
  4. Step 4: Simplify right side
    459,931.50x = 1,010,754,761,769
  5. Step 5: Solve for x
    x = 1,010,754,761,769/459,931.50
  6. Step 6: Final answer
    x = 2,197,620.21

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.