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Finding the Third Proportional to 445,359 and 688,045.50

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Solution

The third proportional to 445,359 and 688,045.50 is: 1,062,977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,359 : 688,045.50 = 688,045.50 : x
  2. Step 2: Convert to fraction form
    445,359/688,045.50 = 688,045.50/x
  3. Step 3: Cross multiply
    445,359x = 688,045.50 × 688,045.50
  4. Step 4: Simplify right side
    445,359x = 473,406,610,070.25
  5. Step 5: Solve for x
    x = 473,406,610,070.25/445,359
  6. Step 6: Final answer
    x = 1,062,977.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.