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Finding the Third Proportional to 346,472,865 and 470,697,898.50

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Solution

The third proportional to 346,472,865 and 470,697,898.50 is: 639,462,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,472,865 : 470,697,898.50 = 470,697,898.50 : x
  2. Step 2: Convert to fraction form
    346,472,865/470,697,898.50 = 470,697,898.50/x
  3. Step 3: Cross multiply
    346,472,865x = 470,697,898.50 × 470,697,898.50
  4. Step 4: Simplify right side
    346,472,865x = 221,556,511,652,316,288
  5. Step 5: Solve for x
    x = 221,556,511,652,316,288/346,472,865
  6. Step 6: Final answer
    x = 639,462,809.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.