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Finding the Third Proportional to 497,084,017 and 745,626,097.50

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Solution

The third proportional to 497,084,017 and 745,626,097.50 is: 1,118,439,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,084,017 : 745,626,097.50 = 745,626,097.50 : x
  2. Step 2: Convert to fraction form
    497,084,017/745,626,097.50 = 745,626,097.50/x
  3. Step 3: Cross multiply
    497,084,017x = 745,626,097.50 × 745,626,097.50
  4. Step 4: Simplify right side
    497,084,017x = 555,958,277,273,079,488
  5. Step 5: Solve for x
    x = 555,958,277,273,079,488/497,084,017
  6. Step 6: Final answer
    x = 1,118,439,254.25

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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.