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Finding the Third Proportional to 497,633.63 and 750,573

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Solution

The third proportional to 497,633.63 and 750,573 is: 1,132,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,633.63 : 750,573 = 750,573 : x
  2. Step 2: Convert to fraction form
    497,633.63/750,573 = 750,573/x
  3. Step 3: Cross multiply
    497,633.63x = 750,573 × 750,573
  4. Step 4: Simplify right side
    497,633.63x = 563,359,828,329
  5. Step 5: Solve for x
    x = 563,359,828,329/497,633.63
  6. Step 6: Final answer
    x = 1,132,077.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.