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Finding the Third Proportional to 497,128 and 745,746

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Solution

The third proportional to 497,128 and 745,746 is: 1,118,700.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,128 : 745,746 = 745,746 : x
  2. Step 2: Convert to fraction form
    497,128/745,746 = 745,746/x
  3. Step 3: Cross multiply
    497,128x = 745,746 × 745,746
  4. Step 4: Simplify right side
    497,128x = 556,137,096,516
  5. Step 5: Solve for x
    x = 556,137,096,516/497,128
  6. Step 6: Final answer
    x = 1,118,700.01

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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.