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Finding the Third Proportional to 359,943,737.34 and 537,556,925.25

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Solution

The third proportional to 359,943,737.34 and 537,556,925.25 is: 802,812,822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,943,737.34 : 537,556,925.25 = 537,556,925.25 : x
  2. Step 2: Convert to fraction form
    359,943,737.34/537,556,925.25 = 537,556,925.25/x
  3. Step 3: Cross multiply
    359,943,737.34x = 537,556,925.25 × 537,556,925.25
  4. Step 4: Simplify right side
    359,943,737.34x = 288,967,447,884,234,112
  5. Step 5: Solve for x
    x = 288,967,447,884,234,112/359,943,737.34
  6. Step 6: Final answer
    x = 802,812,822.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.